On the moduli space of Donaldson-Thomas instantons

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On the moduli space of Donaldson-Thomas instantons

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Title: On the moduli space of Donaldson-Thomas instantons
Author: Tanaka, Yuuji
Abstract: In alignment with a programme by Donaldson and Thomas, Thomas [48] constructed a deformation invariant for smooth projective Calabi-Yau threefolds, which is now called the Donaldson-Thomas invariant, from the moduli space of (semi-)stable sheaves by using algebraic geometry techniques. In the same paper [48], Thomas noted that certain perturbed Hermitian-Einstein equations might possibly produce an analytic theory of the invariant. This article sets up the equations on symplectic 6-manifolds, and gives the local model and structures of the moduli space coming from the equations. We then describe a Hitchin-Kobayashi style correspondence for the equations on compact Kähler threefolds, which turns out to be a special case of results by Álvarez-Cónsul and García-Prada [1].
URI: http://hdl.handle.net/10662/9015
Date: 2016

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