A Little Microlocal Morse Theory
Algebraic Geometry
2007-05-23 v2
Abstract
If a complex analytic function, , has a stratified isolated critical point, then it is known that the cohomology of the Milnor fibre of has a direct sum decomposition in terms of the normal Morse data to the strata. We use microlocal Morse theory to obtain the same result under the weakened hypothesis that the vanishing cycles along have isolated support. We also investigate an index-theoretic proof of this fact.
Cite
@article{arxiv.math/0006185,
title = {A Little Microlocal Morse Theory},
author = {David B. Massey},
journal= {arXiv preprint arXiv:math/0006185},
year = {2007}
}
Comments
18 pages