An index theorem for families of Fredholm operators parametrized by a group

DOI10.1016/0040-9383(88)90010-9zbMath0673.58004OpenAlexW2093239908WikidataQ126422573 ScholiaQ126422573MaRDI QIDQ1120863

Daniel S. Freed

Publication date: 1988

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(88)90010-9

zbMATH Keywords

infinite dimensional Lie groupsChern-Weil theoremclassifying space of K-theory

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Abstract operator algebras on Hilbert spaces (47L30) (Semi-) Fredholm operators; index theories (47A53) de Rham theory in global analysis (58A12) Fredholm structures on infinite-dimensional manifolds (58B15) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (5)

Transversal Dirac families in Riemannian foliations ⋮ Adiabatic curvature and the \(S\)-matrix ⋮ The geometry of Kato Grassmannians ⋮ Chern forms on mapping spaces ⋮ Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor

This page was built for publication: An index theorem for families of Fredholm operators parametrized by a group