Equivariant spectral flow and a Lefschetz theorem on odd-dimensional spin manifolds

DOI10.2140/pjm.2005.220.299zbMath1102.53031arXivmath/0105160OpenAlexW1986374050MaRDI QIDQ2496553

Hao Fang

Publication date: 11 July 2006

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105160

zbMATH Keywords

Toeplitz operatorsindex theorem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27)

Related Items (7)

Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary ⋮ Riemann-Roch formulas for the Atiyah-Patodi-Singer \(\bmod\, k\) spectral flow and application to \(\bmod\, k\) index theory ⋮ A geometric proof of the Atiyah-Patodi-Singer mod \(k\) index theorem for Dirac operators ⋮ Equivariant Seiberg-Witten-Floer cohomology ⋮ Equivariant eta forms and equivariant differential \(K\)-theory ⋮ The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems ⋮ The Noncommutative Infinitesimal Equivariant Index Formula

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