Symplectic reduction and a weighted multiplicity formula for twisted Spin$^c$-Dirac operators

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dc.creatorTian, Youliang
dc.creatorZhang, Weiping
dc.date1998-02-22
dc.date.accessioned2026-07-07T05:23:55Z
dc.date.available2026-07-07T05:23:55Z
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 natural exterior power bundles. 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.identifierhttps://arxiv.org/abs/math/9802105
dc.identifierhttp://arxiv.org/abs/math/9802105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76636
dc.subjectDifferential Geometry
dc.titleSymplectic reduction and a weighted multiplicity formula for twisted Spin$^c$-Dirac operators
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