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Zero dimensional Donaldson–Thomas invariants of threefolds

Jun Li

Geometry & Topology 10 (2006) 2117–2171

DOI: 10.2140/gt.2006.10.2117

arXiv: math/0604490

Abstract

Using a homotopy approach, we prove in this paper a conjecture of Maulik, Nekrasov, Okounkov and Pandharipande on the dimension zero Donaldson–Thomas invariants of all smooth complex threefolds.

Keywords

moduli space, Hilbert schemes, virtual cycle

Mathematical Subject Classification

Primary: 14D20

Secondary: 14J60

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Publication

Received: 27 April 2006
Accepted: 10 October 2006
Published: 29 November 2006
Proposed: Jim Bryan
Seconded: Lothar Goettsche, Eleny Ionel

Authors
Jun Li
Department of Mathematics
Stanford University
Stanford, CA 94305
USA