|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Analytic approach to
$S^1$–equivariant Morse inequalities
Mostafa E Zadeh and Reza Moghadasi |
|
Algebraic & Geometric Topology 22 (2022) 3059–3082
|
Abstract |
|
The cohomology groups of a closed manifold can be reconstructed using the gradient flow of a Morse–Smale function . A direct result of this construction are Morse inequalities that provide lower bounds for the number of critical points of in term of Betti numbers of . Witten showed that these inequalities can be deduced analytically by studying the asymptotic behavior of the deformed Laplacian operator. Adopting Witten’s approach, we provide an analytic proof for the so-called equivariant Morse inequalities when the underlying manifold is acted upon by the Lie group , and the Morse function is invariant with respect to this action. |
PDF Access Denied
We have not been able to recognize your IP address
3.138.204.208
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
equivariant cohomology, Morse inequalities, Witten
deformation
|
Mathematical Subject Classification 2010
Primary: 57R18, 57R99
|
References |
Publication
Received: 8 May 2014
Revised: 22 May 2021
Accepted: 13 September 2021
Published: 30 January 2023
|
Authors |
| Mostafa E Zadeh | |
| Department of Mathematical
Sciences Sharif University of Technology Tehran Iran |
|
| Reza Moghadasi | |
| Department of Mathematical
Sciences Sharif University of Technology Tehran Iran |
|
