Morse theory for the space of Higgs G–bundles
نویسندگان
چکیده
منابع مشابه
Morse Theory for the Space of Higgs Bundles
Here we prove the necessary analytic results to construct a Morse theory for the YangMills-Higgs functional on the space of Higgs bundles over a compact Riemann surface. The main result is that the gradient flow with initial conditions (A, φ) converges to a critical point of this functional, the isomorphism class of which is given by the graded object associated to the HarderNarasimhan-Seshadri...
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This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a method in the spirit of Atiyah and Bott’s original approach for semistable holomorphic bundles. This leads to a natural proof that the hyperkähler Kirwan map is surjective for the non-fixed determinant case. CONTENTS
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2010
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-010-9476-9