Global topology of the Hitchin system
Hausel T. 2013.Global topology of the Hitchin system. In: Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol. 25, 29–70.
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Advanced Lectures in Mathematics
Abstract
Here we survey several results and conjectures on the cohomology of the total space of the Hitchin system: the moduli space of semi-stable rank n and degree d Higgs bundles on a complex algebraic curve C. The picture emerging is a dynamic mixture of ideas originating in theoretical physics such as gauge theory and mirror symmetry, Weil conjectures in arithmetic algebraic geometry, representation theory of finite groups of Lie type and Langlands duality in number theory.
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2013-03-15
Book Title
Handbook of Moduli: Volume II
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25
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29 - 70
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Hausel T. Global topology of the Hitchin system. In: Handbook of Moduli: Volume II. Vol 25. International Press; 2013:29-70.
Hausel, T. (2013). Global topology of the Hitchin system. In Handbook of Moduli: Volume II (Vol. 25, pp. 29–70). International Press.
Hausel, Tamás. “Global Topology of the Hitchin System.” In Handbook of Moduli: Volume II, 25:29–70. International Press, 2013.
T. Hausel, “Global topology of the Hitchin system,” in Handbook of Moduli: Volume II, vol. 25, International Press, 2013, pp. 29–70.
Hausel T. 2013.Global topology of the Hitchin system. In: Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol. 25, 29–70.
Hausel, Tamás. “Global Topology of the Hitchin System.” Handbook of Moduli: Volume II, vol. 25, International Press, 2013, pp. 29–70.
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