On the Moduli Space of Donaldson-Thomas Instantons
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Yuuji Tanaka [1]
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[1] Nagoya University
Nagoya University
Naka-ku, Japón
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- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 31, Nº 1, 2016, págs. 89-107
- Idioma: inglés
- Enlaces
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Resumen
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].
