Spin\(^ q\) structures

DOI10.2969/JMSJ/04710093zbMath0863.57019OpenAlexW2001365425MaRDI QIDQ1907747

Masayoshi Nagase

Publication date: 13 February 1996

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04710093

zbMATH Keywords

Dirac operatorindexalmost quaternionic structuresRiemann manifoldsSpin-structureSpin group

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (11)

Spinorially twisted spin structures. I: Curvature identities and eigenvalue estimates. ⋮ Twistor spaces and the adiabatic limits of Dirac operators ⋮ Differential geometry of \(\mathrm{SO}^*(2n)\)-type structures-integrability ⋮ Spin\(^h\) manifolds ⋮ Rigidity and vanishing theorems for almost quaternionic manifolds ⋮ Spin\(^{q}\) manifolds admitting parallel and Killing spinors ⋮ Twistor spaces and the general adiabatic expansions ⋮ Spin\({}^h\) and further generalisations of spin ⋮ Spin\(^{q}\) manifolds and \(S^{1}\) actions ⋮ Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles ⋮ Elliptic Symbols

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