Equivariant holomorphic Morse inequalities. I: A heat kernel proof

DOI10.4310/jdg/1214459898zbMath0910.58006arXivdg-ga/9602007OpenAlexW1974456631WikidataQ115175689 ScholiaQ115175689MaRDI QIDQ1383662

Varghese Mathai, Siye Wu

Publication date: 9 April 1999

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9602007

zbMATH Keywords

Morse inequalitiesheat operatorWitten deformationtwisted Dolbeault cohomologyAtiyah-Bott fixed point formulaholomorphic circle actionspolarizing index

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Morse-Bott inequalities in the presence of a compact Lie group action and applications ⋮ Analytic approach to \(S^1\)-equivariant Morse inequalities

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