Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities

zbMath0909.58048arXivdg-ga/9610018MaRDI QIDQ1264817

Varghese Mathai, Mikhail A. Shubin

Publication date: 7 April 1999

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9610018

zbMATH Keywords

twisted \(L^2\)-cohomology\(L^2\) Morse inequalitiesasymptotic \(L^2\) Morse-Farber inequalitiesextended twisted \(L^2\) de Rham cohomologyflat Hilbertian bundlestwisted spectral invariants

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Exotic index theories on manifolds (58J22)

Related Items (4)

Discrete Morse theory and extended \(L^2\) homology ⋮ Morse functions on cobordisms ⋮ Von Neumann Betti numbers and Novikov type inequalities ⋮ Numerical invariants of cochain complexes and the Morse numbers of manifolds

This page was built for publication: Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities