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

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

Hyperbolic manifolds without $\text{spin}^\mathbb{C}$ structures and non-vanishing higher order Stiefel-Whitney classes

Authors: Reid, Alan W. Sell, Connor

Subject Terms: Mathematics - Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT), 0101 mathematics, 57N16, 01 natural sciences

Access URL: http://arxiv.org/abs/2302.08060

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

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

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

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

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

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

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

\(\mathbb Z_p\)-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

The structure of the spin^h bordism spectrum.

Authors: Mills, Keith

Source: Proceedings of the American Mathematical Society; Aug2024, Vol. 152 Issue 8, p3605-3616, 12p

Subject Terms: ALGEBRA, WEDGES, COUNTING, BANACH algebras

Advancing the hBN defects database through photophysical characterization of bulk hBN.

Authors: Cholsuk, Chanaprom Suwanna, Sujin Vogl, Tobias

Source: Journal of Materials Chemistry C; 11/21/2025, Vol. 13 Issue 43, p21826-21837, 12p

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

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

$\underline{SW}$ = Milnor Torsion: \(\underline{SW}\)=Milnor torsion

Authors: Clifford Henry Taubes Guowu Meng

Source: Mathematical Research Letters. 3:661-674

Subject Terms: Topology of general \(3\)-manifolds, \(\text{spin}^{\mathbb{C}}\)-structures, Euler structure, 0103 physical sciences, link, homology orientation, skein theory, Milnor torsion, 0101 mathematics, 01 natural sciences, Alexander polynomial, Seiberg-Witten invariant, 3-manifolds

File Description: application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1996/0003/0005/MRL-1996-0003-0005-a008.pdf
http://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0003/0005/a008/index.html
http://repository.ust.hk/ir/Record/1783.1-26152
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1996/0003/0005/MRL-1996-0003-0005-a008.pdf

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

Electronic Structure of trans‐[V^IICl2(E(CH3)2CH2CH2E(CH3)2)2], E=N, P.

Authors: Jafari, Mehrafshan G. Zolnhofer, Eva M. Fehn, Dominik et al.

Source: European Journal of Inorganic Chemistry; 12/2/2024, Vol. 27 Issue 34, p1-19, 19p

Subject Terms: COORDINATE covalent bond, QUANTUM theory, QUANTUM chemistry, ELECTRON paramagnetic resonance spectroscopy, ELECTRONIC structure

Dirac Eigenvalue Optimisation and Harmonic Maps to Complex Projective Spaces.

Authors: Karpukhin, Mikhail Métras, Antoine Polterovich, Iosif

Source: IMRN: International Mathematics Research Notices; Nov2024, Vol. 2024 Issue 21, p13758-13784, 27p

Subject Terms: PROJECTIVE spaces, RIEMANNIAN metric, DIRAC operators, COMPACT operators, EIGENVALUES

Thermally Activated Delayed Fluorescence and Beyond. Photophysics and Material Design Strategies.

Authors: Yersin, Hartmut Monkowius, Uwe

Source: Advanced Photonics Research; Aug2025, Vol. 6 Issue 8, p1-44, 44p

Subject Terms: DELAYED fluorescence, ORGANIC light emitting diodes, COPPER compounds, PHOSPHORS, QUANTUM efficiency, ORGANIC compounds

Exploring quantum phases in frustrated spin- 12 chain and ladders: a detailed review.

Authors: Routh, Manodip Ghosh, Sayan Kumar, Manoranjan

Source: Journal of Physics: Condensed Matter; 10/6/2025, Vol. 37 Issue 40, p1-29, 29p