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Delocalized betti numbers and morse type inequalities

Zadeh, M. E ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1216/RMJ-2011-41-4-1361
  3. Publisher: 2011
  4. Abstract:
  5. In this paper we state and prove delocalized Morse type inequalities for Morse functions as well as for closed differential 1-forms. These inequalities involve delocalized Betti numbers. As an immediate consequence, we prove the vanishing of delocalized Betti numbers of manifolds fibering over the circle under a vanishing condition on the delocalizing conjugacy class
  6. Keywords:
  7. Delocalized Betti numbers ; Novikov-Shubin inequalities ; Witten's Laplacian
  8. Source: Rocky Mountain Journal of Mathematics ; Volume 41, Issue 4 , August , 2011 , Pages 1361-1374 ; 00357596 (ISSN)
  9. URL: http://projecteuclid.org/euclid.rmjm/1313171630