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Documents Andersen, Jorgen Ellegaard 2 résultats

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The Verlinde formula for Higgs bundles - Andersen, Jorgen Ellegaard (Auteur de la Conférence) | CIRM H

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In this talk we will present a Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. We further present a Verlinde formula for the quantization of parabolic Higgs bundle moduli spaces and stacks. We will explain how all these dimensions fit into a one parameter family of 2D TQFT's, encoded in a one parameter family of Frobenius algebras, which we will construct.

14D20 ; 14H60 ; 57R56 ; 81T40 ; 14F05 ; 14H10 ; 22E46 ; 81T45

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Geometric recursion - Andersen, Jorgen Ellegaard (Auteur de la Conférence) | CIRM H

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Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fits into this setting. These will include the Mirzakhani-McShane identies, mapping class group invariant closed forms on Teichmüller space (including the Weil-Petterson symplectic form) and the Goldman symplectic form.[-]
Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fits into this setting. These will include the Mirzakhani-McShane identies, mapping class group invariant closed forms on Teichmüller space (including the Weil-Petterson ...[+]

51P05 ; 81Q30

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