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math.DG2010
Morse theory for the space of Higgs G-bundles
Indranil Biswas, Graeme Wilkin
Fix a principal --bundle on a compact connected Riemann surface , where is a connected complex reductive linear algebraic group. We consider the gradie…
math.DG2010
Morse theory and stable pairs
Richard A. Wentworth, Graeme Wilkin
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs , where is a unitary connection on a rank 2 hermitian vector bundle over a compact Rie…