Search Results - "\(\text{spin}^ c\)-structure"

On fillable contact structures up to homotopy

Authors: LISCA, PAOLO

Source: Proceedings of the American Mathematical Society. 129:3437-3444

Subject Terms: Applications of global analysis to structures on manifolds, Topology of general \(3\)-manifolds, Symplectic and contact topology in high or arbitrary dimension, Applied Mathematics, General Mathematics, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), homotopic contact structures, 01 natural sciences, symplectic filling, General geometric structures on low-dimensional manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Contact manifolds (general theory), 0101 mathematics, Seiberg-Witten equations, \(\text{Spin}^c\) structure

File Description: application/xml

Access URL: https://www.ams.org/proc/2001-129-11/S0002-9939-01-05964-0/S0002-9939-01-05964-0.pdf
https://zbmath.org/1626815
https://doi.org/10.1090/s0002-9939-01-05964-0
https://www.jstor.org/stable/2668891
https://dialnet.unirioja.es/servlet/articulo?codigo=736464
https://www.ams.org/proc/2001-129-11/S0002-9939-01-05964-0/S0002-9939-01-05964-0.pdf
https://arpi.unipi.it/handle/11568/186785
https://www.ams.org/journals/proc/2001-129-11/S0002-9939-01-05964-0/home.html
https://www.openaccessrepository.it/record/152364
https://hdl.handle.net/11568/186785
https://doi.org/10.1090/S0002-9939-01-05964-0

Homotopy K3 surfaces and mod 2 Seiberg-Witten invariants: Homotopy \(K3\) surfaces and \(\text{mod }2\) Seiberg-Witten invariants

Authors: John W. Morgan Zoltan Szabo

Source: Mathematical Research Letters. 4:17-21

Subject Terms: 4-manifold, \(\text{Spin}^ c\)-structure, 0101 mathematics, 01 natural sciences, Topology of the Euclidean \(4\)-space, \(4\)-manifolds, K3 surface, Seiberg-Witten invariant

File Description: application/xml

Access URL: https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1997/0004/0001/MRL-1997-0004-0001-a002.pdf
https://zbmath.org/1019782
https://doi.org/10.4310/mrl.1997.v4.n1.a2
https://collaborate.princeton.edu/en/publications/homotopy-k3-surfaces-and-mod-2-seiberg-witten-invariants
https://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0004/0001/a002/index.php
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1997/0004/0001/MRL-1997-0004-0001-a002.pdf

Immersions of Surfaces in Spinc-Manifolds with a Generic Positive Spinor: Immersions of surfaces in spin\(^c\)-manifolds with a generic positive spinor

Authors: Andrzej Derdzinski Tadeusz Januszkiewicz

Source: Annals of Global Analysis and Geometry. 26:175-199

Subject Terms: \(\text{spin}^c\)-structure, Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), pseudoholomorphic curve, totally real immersion, General geometric structures on manifolds (almost complex, almost product structures, etc.), Spin and Spin\({}^c\) geometry, 0101 mathematics, pseudoholomorphic immersion, almost symplectic structure, spin structure, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/B:AGAG.0000031163.94882.de

NOWHERE-ZERO HARMONIC SPINORS AND THEIR ASSOCIATED SELF-DUAL 2-FORMS: Nowhere-zero harmonic spinors and their associated self-dual 2-forms

Authors: Alexandru Scorpan

Source: Communications in Contemporary Mathematics. :45-63

Subject Terms: \(\text{spin}^c\)-structure, Mathematics - Differential Geometry, Applications of global analysis to structures on manifolds, Dirac operator, Spin and Spin\({}^c\) geometry, Global differential geometry of Hermitian and Kählerian manifolds, Geometric Topology (math.GT), 01 natural sciences, 53C57 (primary) 57R57, 53D35, 53C55 (secondary), Global theory of symplectic and contact manifolds, Chern class, Mathematics - Geometric Topology, Differential Geometry (math.DG), FOS: Mathematics, harmonic spinor, self-dual forms, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0110322
http://arxiv.org/abs/math/0110322
https://zbmath.org/1751535
https://doi.org/10.1142/s0219199702000580
https://www.worldscientific.com/doi/abs/10.1142/S0219199702000580

Parallel and Killing Spinors on Spin c Manifolds: Parallel and Killing spinors on \(\text{Spin}^ c\) manifolds

Authors: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Contributors: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Source: Communications in Mathematical Physics. 187:417-427

Subject Terms: Sasakian manifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), parallel spinor, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], Spin and Spin\({}^c\) geometry, 0101 mathematics, \(\text{Spin}^ c\) structure, 16. Peace & justice, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), Killing spinor, 01 natural sciences

File Description: application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-00125985/file/1997cmp.pdf
https://zbmath.org/1062408
https://doi.org/10.1007/s002200050142
http://ui.adsabs.harvard.edu/abs/1997CMaPh.187..417M/abstract
https://hal.archives-ouvertes.fr/hal-00125985
https://rd.springer.com/article/10.1007/s002200050142
https://moroianu.perso.math.cnrs.fr/tex/1997cmp.pdf
https://hal.archives-ouvertes.fr/hal-00125985/document
https://link.springer.com/article/10.1007%2Fs002200050142

\(\mathbb Z_p\)-equivariant Spin\(^c\)-structures

Authors: Cho, Yong Seung Hong, Yoon Hi

Subject Terms: General low-dimensional topology, Applications of global analysis to structures on manifolds, Equivariant algebraic topology of manifolds, involutions, 4-manifold with a \(\mathbb{Z}_p\)-action, equivariant, Finite transformation groups, moduli space, \(\text{Spin}^c\)-structure, Seiberg-Witten equations, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)

File Description: application/xml

Access URL: https://zbmath.org/1990038

D-branes and \(\text{Spin}^c\) structures

Authors: Bryant, Robert L. Sharpe, Eric

Subject Terms: string compactification, Spin and Spin\({}^c\) geometry, D-brane, supersymmetric cycle, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, \(\text{Spin}^c\) structure

File Description: application/xml

Access URL: https://zbmath.org/1596260

\(SO(3)\)-invariants for 4-manifolds with \(b_ 2^ +=1\). II

Authors: Kotschick, D. Morgan, J. W.

Subject Terms: wall crossing formula, Applications of global analysis to structures on manifolds, anti-self-dual, one-dimensional positive definite subspace of the second homology group, self-dual harmonic 2-form, self-intersection form, \(\text{spin}^ c\)-structure, chamber, Donaldson polynomial invariant, ASD equation, gluing construction, Topology of the Euclidean \(4\)-space, \(4\)-manifolds

File Description: application/xml

Access URL: https://zbmath.org/590837

Kuperberg invariants for balanced sutured 3-manifolds

Authors: Neumann, Daniel López HEP, INSPIRE

Contributors: Neumann, Daniel López HEP, INSPIRE

Source: Canadian Journal of Mathematics. 73:1698-1742

Subject Terms: Geometric Topology (math.GT), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 16. Peace & justice, sutured manifolds, 01 natural sciences, Reidemeister torsion, 16T05, Mathematics - Geometric Topology, 57M27, 16T05, 57M27, Hopf algebras, Kuperberg invariants, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, 10. No inequality

Access URL: http://arxiv.org/pdf/1904.05786
http://arxiv.org/abs/1904.05786
https://arxiv.org/pdf/1904.05786.pdf
https://arxiv.org/abs/1904.05786
http://ui.adsabs.harvard.edu/abs/2019arXiv190405786L/abstract
https://hal.science/hal-02934099v1
https://doi.org/10.4153/s0008414x20000656

Closed hyperbolic manifolds without $\text{spin}^c$ structures

Authors: Chen, Jacopo G.

Subject Terms: Mathematics - Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT)

Access URL: http://arxiv.org/abs/2501.07796

Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion

Authors: Neumann, Daniel López HEP, INSPIRE

Contributors: Neumann, Daniel López HEP, INSPIRE

Source: Algebraic & Geometric Topology. 22:2419-2466

Subject Terms: Mathematics - Geometric Topology, Mathematics - Quantum Algebra, quantum invariants, FOS: Mathematics, Quantum Algebra (math.QA), Geometric Topology (math.GT), 57K16, 57K31, 16T05, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], sutured manifolds, Reidemeister torsion

Access URL: http://arxiv.org/abs/1911.02925
https://hal.science/hal-02423723v1
https://doi.org/10.2140/agt.2022.22.2419

Triple Linking Numbers and Heegaard Floer Homology.

Authors: Gorsky, Eugene Lidman, Tye Liu, Beibei et al.

Source: IMRN: International Mathematics Research Notices; Mar2023, Vol. 2023 Issue 6, p4501-4554, 54p

Subject Terms: FLOER homology

Holomorphic curves in Stein domains and the tau-invariant

Authors: Alfieri, Antonio Cavallo, Alberto

Subject Terms: Geometric Topology, Symplectic Geometry, 57K18, 57K33, 57K43

Relation: http://arxiv.org/abs/2310.08657

Availability: http://arxiv.org/abs/2310.08657

Closed hyperbolic manifolds without $\text{spin}^c$ structures

Authors: Jacopo G. Chen Chen, Jacopo G.

Contributors: Jacopo G. Chen Chen, Jacopo G.

Subject Terms: Mathematics - Geometric Topology, Settore MATH-02/B - Geometria

Relation: https://hdl.handle.net/11384/156286; http://arxiv.org/abs/2501.07796v4

Availability: https://hdl.handle.net/11384/156286
http://arxiv.org/abs/2501.07796v4

Sutured Floer homology, fibrations, and taut depth one foliations

Authors: Altman, I Friedl, S Juhasz, A

Source: Transactions of the American Mathematical Society. 368:6363-6389

Subject Terms: Mathematics - Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT), 57M27, 57R58, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Access URL: http://arxiv.org/pdf/1312.0823
http://arxiv.org/abs/1312.0823
https://ui.adsabs.harvard.edu/abs/2013arXiv1312.0823A/abstract
https://www.arxiv-vanity.com/papers/1312.0823/
https://www.ams.org/journals/tran/2016-368-09/S0002-9947-2015-06610-0/home.html
https://epub.uni-regensburg.de/42495/
https://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/friedl/papers/asj-2013-v1.pdf
https://core.ac.uk/display/77463534
https://arxiv.org/pdf/1312.0823.pdf
https://arxiv.org/abs/1312.0823

A note on invariant pseudoholomorphic curves

Authors: Cho, Yong Seung Joe, Do Sang

Subject Terms: Applications of global analysis to structures on manifolds, cyclic group action, pseudoholomorphic curve, Spin and Spin\({}^c\) geometry, Topology of the Euclidean \(4\)-space, \(4\)-manifolds, Seiberg-Witten invariant

File Description: application/xml

Access URL: https://zbmath.org/1623273

Fixed point formula for characters of automorphism groups associated with Kähler classes

Authors: A. Futaki K. Tsuboi

Source: Mathematical Research Letters. 8:495-507

Subject Terms: Eta-invariants, Chern-Simons invariants, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), positive and constant scalar curvature, Global differential geometry of Hermitian and Kählerian manifolds, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, Kähler manifolds, 01 natural sciences, Kähler-Einstein metrics, eta-invariant, fixed-point formulae, Index theory and related fixed-point theorems on manifolds, \(\text{Spin}^c\)-operator, Lie algebra character, metric of constant scalar curvature, Chern-Simons classes, 0101 mathematics

File Description: application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2001/0008/0004/MRL-2001-0008-0004-a009.pdf
https://zbmath.org/1690763
https://doi.org/10.4310/mrl.2001.v8.n4.a9
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2001/0008/0004/MRL-2001-0008-0004-a009.pdf
https://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0008/0004/a009/index.html
https://dialnet.unirioja.es/servlet/articulo?codigo=735257

Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds

Authors: Xiao Zhang

Source: Communications in Analysis and Geometry. 8:635-652

Subject Terms: Einstein equations, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), energy-momentum tensor, positive mass theorem, Lorentzian manifold, asymptotically flat, 0101 mathematics, spacelike hypersurface, Applications of global differential geometry to the sciences, 01 natural sciences

File Description: application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2000/0008/0003/CAG-2000-0008-0003-a008.pdf
https://www.mis.mpg.de/publications/preprints/1998/prepr1998-53.html
https://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2000/0008/0003/CAG-2000-0008-0003-a008.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=711588
https://www.mis.mpg.de/preprints/1998/preprint1998_53.pdf
https://www.mis.mpg.de/de/publications/preprints/1998/prepr1998-53.html
https://intlpress.com/site/pub/pages/journals/items/cag/content/vols/0008/0003/a008/index.html

Spin c Manifolds and Complex Contact Structures: \(\text{Spin}^c\) manifolds and complex contact structures

Authors: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Contributors: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Source: Communications in Mathematical Physics. 193:661-673

Subject Terms: quaternionic Kähler manifold, Spin\(^c\) manifold, Spectral problems, spectral geometry, scattering theory on manifolds, Spin and Spin\({}^c\) geometry, Global differential geometry of Hermitian and Kählerian manifolds, complex contact structure, projectable spinor, twistor space, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), 01 natural sciences, Special Riemannian manifolds (Einstein, Sasakian, etc.), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], General geometric structures on manifolds (almost complex, almost product structures, etc.), 0101 mathematics

File Description: application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-00125990/file/1998cmp.pdf
https://zbmath.org/1213889
https://doi.org/10.1007/s002200050343
https://link.springer.com/article/10.1007/s002200050343
https://hal.archives-ouvertes.fr/hal-00125990
http://ui.adsabs.harvard.edu/abs/1998CMaPh.193..661M/abstract
https://hal.archives-ouvertes.fr/hal-00125990/document
https://link.springer.com/content/pdf/10.1007/s002200050343.pdf

Generic Metrics and Connections on Spin- and Spin c -Manifolds: Generic metrics and connections on spin- and \(\text{spin}^c\)-manifolds

Authors: Stephan E. Maier

Source: Communications in Mathematical Physics. 188:407-437

Subject Terms: Seiberg-Witten invariants, Special Riemannian manifolds (Einstein, Sasakian, etc.), Spectral problems, spectral geometry, scattering theory on manifolds, spin- and spin\(^c\)-manifolds, Dirac operators, 0101 mathematics, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1121181
https://doi.org/10.1007/s002200050171
https://link.springer.com/article/10.1007/s002200050171
https://ui.adsabs.harvard.edu/abs/1997CMaPh.188..407M/abstract