An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary

DOI10.1016/j.jfa.2006.05.005zbMath1114.58011arXivmath/0103230OpenAlexW2111185233MaRDI QIDQ2504356

Weiping Zhang, Xianzhe Dai

Publication date: 25 September 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103230

zbMATH Keywords

Toeplitz operatormanifold with boundaryWess-Zumino termAtiyah-Patodi-Singer index theoremeta-invariantMaslov triple index

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (12)

Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary ⋮ The odd-dimensional analogue of a theorem of Getzler and Wu ⋮ Relative index pairing and odd index theorem for even dimensional manifolds ⋮ Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds ⋮ A Cheeger-Müller theorem for symmetric bilinear torsions on manifolds with boundary ⋮ A Cheeger-Müller theorem for Cappell-Miller torsions on manifolds with boundary ⋮ A new proof of an index theorem of Freed and Melrose ⋮ An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds ⋮ Analytic Pontryagin duality ⋮ The mathematical work of V. K. Patodi ⋮ Eta invariant and holonomy: the even dimensional case ⋮ Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism

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