Symmetric obstruction theories and Hilbert schemes of points on threefolds

Simple item page
dc.creatorBehrend, Kai
dc.creatorFantechi, Barbara
dc.date2005-12-24
dc.date.accessioned2026-07-07T06:55:44Z
dc.date.available2026-07-07T06:55:44Z
dc.descriptionWe introduce the notion of symmetric obstruction theory and study symmetric obstruction theories which are compatible with C*-actions. We prove that the contribution of an isolated fixed point under a C*-action to equivariant Donaldson-Thomas type invariants is +/- 1. As an application, we compute weighted Euler characteristics of all Hilbert schemes of points on any 3-fold. Moreover, we calculate the zero-dimensional Donaldson-Thomas invariants of any projective Calabi-Yau 3-fold. This proves a conjecture of Maulik-Nekrasov-Okounkov-Pandharipande.
dc.identifierhttps://arxiv.org/abs/math/0512556
dc.identifierhttp://arxiv.org/abs/math/0512556
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106380
dc.subjectAlgebraic Geometry
dc.subject14J32, 14C05
dc.titleSymmetric obstruction theories and Hilbert schemes of points on threefolds
dc.typetext

Files

Collections

arXiv