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Invariants of Moduli Spaces and Modular Forms
Göttsche, Lothar
2009
Abstract
Generating functions for invariants of moduli spaces in algebraic geometry of are often related to modular forms. In this paper
we give an overview of many instances of this phenomenon and in some
cases relate it to predictions from theoretical physics. In this paper we
only consider moduli spaces of objects on surfaces. The examples include
Euler numbers of moduli spaces of sheaves on surfaces, Donaldson
invariants, and enumerative invariants of curves on surfaces.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
41 (2009)
Publisher
EUT Edizioni Università di Trieste
Source
Lothar Göttsche, "Invariants of Moduli Spaces and Modular Forms”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 41 (2009), pp. 55–76.
Languages
en
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