Sympletic Reduction and a Weighted Multiplicity Formula for Twisted Spin^c-Dirac Operations

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dc.creatorTian, Youliang
dc.creatorZhang, Weiping
dc.date1999-01-21
dc.date.accessioned2026-07-07T05:27:37Z
dc.date.available2026-07-07T05:27:37Z
dc.descriptionWe extend our earlier work in [TZ1], where an analytic approach to the Guillemin-Sternberg conjecture [GS] was developed, to cases where the Spin^c-complex under consideration is allowed to be further twisted by certain exterior power bundles of the cotangent bundle. The main result is a weighted quantization formula in the presence of commuting Hamiltonian actions. The corresponding Morse-type inequalities in holomorphic situations are also established.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/9901092
dc.identifierhttp://arxiv.org/abs/math/9901092
dc.identifierAsian Journal of Mathematics Volume 2, number 3, pp. 591-608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77984
dc.subjectGeometric Topology
dc.titleSympletic Reduction and a Weighted Multiplicity Formula for Twisted Spin^c-Dirac Operations
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