منابع مشابه
Geometry of Moduli Spaces of Higgs Bundles
We construct a Petersson-Weil type Kähler form on the moduli spaces of Higgs bundles over a compact Kähler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain determinant line bundle, equipped with a Quillen metric, on the moduli space of Higgs bundles over a projective manifold. The curvature of the Peters...
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We give the description of discretized moduli spaces (d.m.s.) M disc g,n introduced in [1] in terms of discrete de Rham cohomologies for moduli spaces Mg,n. The generating function for intersection indices (cohomological classes) of d.m.s. is found. Classes of highest degree coincide with the ones for the continuum moduli space Mg,n. To show it we use a matrix model technique. The Kontsevich ma...
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Saturday 18 November (Auditorium: “Stalden”) 08:00-09:00 Breakfast (each morning at the same time) 09:30-10:30 Gaëtan Borot Geometric recursion 10:45-11:45 Gergely Bérczi Non-reductive moduli spaces and their cohomology 12:00-13:00 Lunch 13:15-14:15 Tobias Kildetoft An introduction to 2-categories and categorification 14:30-15:30 Martin de Borbon/Cristiano Spotti Singular KE metrics, "stable" t...
متن کاملCentre for Quantum Geometry of Moduli Spaces
Monday 8 August: 09.30-10.30 Stefan Bauer: Differential eguations and stable homotopy 11.00-12.00 Nikolai Saveliev: An index theorem for end-periodic opererators 13.30-14.30 Kim Frøyshov: Smooth four-manifolds and intersection forms with local coefficients 14.45-15.45 Christopher Herald: An SU (3) Casson invariant of rational homology spheres 16.15-17.15 Brendan McLellan: Non-Abelian Localizati...
متن کاملRemarks on the Geometry of Moduli Spaces
By using Yau’s Schwarz lemma and the Quillen determinant line bundles, several results about fibered algebraic surfaces and the moduli spaces of curves are improved and reproved.
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ژورنال
عنوان ژورنال: Surveys in Differential Geometry
سال: 1998
ISSN: 1052-9233,2164-4713
DOI: 10.4310/sdg.1998.v4.n1.a5