Homotopy invariance of Novikov-Shubin invariants and L2 Betti numbers
Date
1997
Authors
Block, Jonathan
Mathai, Varghese
Weinberger, Shmuel
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Proceedings of the American Mathematical Society, 1997; 125(12):3757-3762
Statement of Responsibility
Jonathan Block, Varghese Mathai and Shmuel Weinberger.
Conference Name
Abstract
We give short proofs of the Gromov-Shubin theorem on the homotopy invariance of the Novikov-Shubin invariants and of the Dodziuk theorem on the homotopy invariance of the $L^2$ Betti numbers of the universal covering of a closed manifold in this paper. We show that the homotopy invariance of these invariants is no more difficult to prove than the homotopy invariance of ordinary homology theory.