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

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

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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

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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

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

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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

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

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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

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

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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

\(\mathbb Z_p\)-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.)

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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

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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

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