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http://hdl.handle.net/10077/4009| Title: | Invariants of Moduli Spaces and Modular Forms | Authors: | Göttsche, Lothar | Keywords: | Moduli Spaces; Hilbert Schemes; Donaldson Invariants; Gromov-Witten Invariants; Modular Forms | Issue Date: | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 41 (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. |
Type: | Article | URI: | http://hdl.handle.net/10077/4009 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.41 (2009) |
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| 6_Goettsche.pdf | 244.85 kB | Adobe PDF |  View/Open |
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