Representation variety of surface groups
نویسندگان
چکیده
منابع مشابه
Cohomology of U(2, 1) Representation Varieties of Surface Groups
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2, 1) and SU(2, 1) Higgs bundles with fixed Toledo invariant. In the non-coprime case this gives new results about the topology of the U(2, 1) and SU(2, 1) character varieties of surface groups. The...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2017
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13852