Yang-Mills equation for stable Higgs sheaves

By Indranil Biswas, G. Schumacher. 2008

53 citations recorded by the source corpus.

We establish a Kobayashi–Hitchin correspondence for the stable Higgs sheaves on a compact Kahler manifold. Using it, we also obtain a Kobayashi–Hitchin correspondence for the stable Higgs G-sheaves, where G is any complex reductive linear algebraic group.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b2fa4ac3668157ef6fc30a544bd456c3b42bc4ba

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In Geometry and Topology

1. Graeme Wilkin
2. Indranil Biswas

In Mathematical Physics

1. Graeme Wilkin
2. Indranil Biswas

Citations in the corpus

• Morse theory for the space of Higgs G–bundles (2006, background): “0 G)) by Corollary 2.4, we conclude that limt→∞ γz(t) exists, and it is in S(E0 G). 4. Reduction of structuregroup As before, G is a connected reductive linear algebraic group defined over C. See [3], [6] for the definitions of semistable, stable and polystable Higgs G–bundles. Lemma 4.1. Let (EG ,θ) ”