Morse Inequalities for Orbifold Cohomology
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- 0712
Submitted manuscript, 509 KB, PDF document
This paper begins the study of Morse theory for orbifolds, or more precisely for differentiable Deligne-Mumford stacks. The main result is an analogue of the Morse inequalities that relates the orbifold Betti numbers of an almost-complex orbifold to the critical points of a Morse function on the orbifold. We also show that a generic function on an orbifold is Morse. In obtaining these results we develop for differentiable Deligne-Mumford stacks those tools of differential geometry and topology -- flows of vector fields, the strong topology -- that are essential to the development of Morse theory on manifolds.
Original language | English |
---|---|
Journal | Algebraic & Geometric Topology |
Volume | 9 |
Issue number | 2 |
Pages (from-to) | 1105-1175 |
ISSN | 1472-2747 |
DOIs | |
Publication status | Published - 2009 |
Bibliographical note
Keywords: math.AT; math.GT; 57R70, 57N65
Number of downloads are based on statistics from Google Scholar and www.ku.dk
No data available
ID: 21543291