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Tamas hausel thesis paper

Jun 16, 2018

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Abstract

This is a survey of results and conjectures on mirror symmetry phenomena in the nonAbelian Hodge theory of a curve. We start with the conjecture of Hausel–Thaddeus which claims that certain Hodge numbers of moduli spaces of flat SL(n, C) and PGL(n, C)connections on a smooth projective algebraic curve agree. We then change our point of view in the non… 

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@INPROCEEDINGS{Hausel02generatorsfor, author = {Tamas Hausel and Michael Thaddeus}, title = {Generators for the Cohomology Ring of the Moduli Space of Rank 2 Higgs Bundles}, booktitle = {Proc. London Math. Soc. 88 (2004) 632–658, arXiv: math.AG/0003093. T. Hausel, N. Proudfoot / Topology 44}, year = {2002}, pages = {231--248} }

Abstract

This paper will show that, in the rank 2 case, the cohomology ring of this noncompact space is again generated by universal classes. A companion paper [23] gives a complete set of explicit relations between these generators

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