Holomorphic Morse Inequalities and Symplectic Reduction

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dc.creatorBraverman, Maxim
dc.date1997-05-02
dc.date1997-05-05
dc.date.accessioned2026-07-07T09:02:52Z
dc.date.available2026-07-07T09:02:52Z
dc.descriptionWe introduce Morse-type inequalities for a holomorphic circle action on a holomorphic vector bundle over a compact Kaehler manifold. Our inequalities produce bounds on the multiplicities of weights occurring in the twisted Dolbeault cohomology in terms of the data of the fixed points and of the symplectic reduction. This result generalizes both Wu-Zhang extension of Witten's holomorphic Morse inequalities and Tian-Zhang Morse-type inequalities for symplectic reduction. As an application we get a new proof of the Tian-Zhang relative index theorem for symplectic quotients.
dc.descriptionLaTeX 2e, 9 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9705002
dc.identifierhttp://arxiv.org/abs/dg-ga/9705002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148795
dc.subjectDifferential Geometry
dc.titleHolomorphic Morse Inequalities and Symplectic Reduction
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