Discrete Morse theory and extended \(L^2\) homology

DOI10.1006/jfan.1999.3439zbMath0940.57035OpenAlexW2021108341MaRDI QIDQ1125283

Varghese Mathai, Stuart G. Yates

Publication date: 17 February 2000

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

Full work available at URL: https://doi.org/10.1006/jfan.1999.3439

zbMATH Keywords

discrete \(L^2\) Morse inequalitiesdiscrete Morse functionsextended category

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential topology (57R99) Critical points and critical submanifolds in differential topology (57R70)

Related Items (3)

The main theorem of discrete Morse theory for Morse matchings with finitely many rays ⋮ Ascending and descending regions of a discrete Morse function ⋮ Discrete morse theory and the cohomology ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^ 2\)-torsion invariants
• Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities
• Von Neumann categories and extended \(L^2\)-cohomology
• Witten-Morse theory for cell complexes
• Hilbert modules and modules over finite von Neumann algebras and applications to \(L^ 2\)-invariants
• Semiclassical asymptotics on covering manifolds and Morse inequalities
• Homological algebra of Novikov-Shubin invariants and Morse inequalities
• VON NEUMANN DIMENSION AND THE HOMOLOGY OF COVERING SPACES

This page was built for publication: Discrete Morse theory and extended \(L^2\) homology