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http://hdl.handle.net/10077/10616| Title: | On the L-infinity description of the Hitchin Map | Authors: | Dalakov, Peter | Keywords: | Hitchin map; Higgs bundles; L-infinity morphism | Issue Date: | 2014 | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 46 (2014) |
Abstract: | We exhibit, for a G-Higgs bundle on a compact complex manifold, a subspace of the second cohomology of the controlling dg Lie algebra, containing the obstructions to smoothness. For this we construct an L-infinity morphism, which induces the Hitchin map and whose "toy version" controls the adjoint quotient morphism. This extends recent results of E.Martinengo. |
Description: | Peter Dalakov, "On the L-infinity description of the Hitchin Map", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.1-17 |
Type: | Article | URI: | http://hdl.handle.net/10077/10616 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.46 (2014) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| RIMUT_46_Dalakov.pdf | 389.13 kB | Adobe PDF |  View/Open |
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