Families index for manifolds with boundary, superconnections and cones. II: The Chern character

DOI10.1016/0022-1236(90)90086-ZzbMath0711.53023OpenAlexW2089708407MaRDI QIDQ923382

Jeff Cheeger, Jean-Michel Bismut

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90086-z

zbMATH Keywords

Dirac operatorChern characterconical singularitiessuperconnection heat kernels

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Connections (general theory) (53C05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings, Index Theory and the Hypoelliptic Laplacian, The index of Dirac operators on incomplete edge spaces, The noncommutative family Atiyah-Patodi-Singer index theorem, Determinant bundles, manifolds with boundary and surgery, Comparison of two equivariant \(\eta\)-forms, Eta cocycles, relative pairings and the Godbillon-Vey index theorem, η-invariants and determinant lines, An index theorem on asymptotically static spacetimes with compact Cauchy surface, The index formula for families of Dirac type operators on pseudomanifolds, Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators, \(\eta \) forms and determinant lines, Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence, Nonlocal invariants in index theory, APS boundary conditions, eta invariants and adiabatic limits, A signature theorem for disk bundles and the eta invariant, Functoriality of equivariant eta forms, Elliptic operators and higher signatures., Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form, Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems, Eta and rho invariants on manifolds with edges, The mathematical work of V. K. Patodi

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