Arithmetic harmonic analysis on character and quiver varieties II
By Tamás Hausel, E. Letellier, Fernando Rodriguez-Villegas. 2008
183 citations recorded by the source corpus.
We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on C-x x C-x, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups. (C) 2012 Elsevier Inc. All rights reserved.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3235084e9f06cb1597ea562cd11241cdae12a4c9
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In Geometry and Topology
- Anton Mellit
- Andrei Neguct
- Peter E. Newstead
- Marina Logares
- V. Muñoz
- E. Gorsky
- M. Brion
- Thorsten Weist
In Mathematical Physics
- Anton Mellit
- Andrei Neguct
- Peter E. Newstead
- Marina Logares
- V. Muñoz
- E. Gorsky
- Junliang Shen
- Davesh Maulik
Citations in the corpus
- Hodge polynomials of SL (2,C)-character varieties for curves of small genus (2013, methodology): “The article [13] is built around a conjectural formula for Hc(PMC1,.”
- Refined knot invariants and Hilbert schemes (2013, background): “They also argued that the conjectures of [41, 42] belong to the physical paradigm of the “geometric engineering” relating the integrals over the Hilbert scheme of points (and, more generally, over the moduli spaces of framed sheaves on P) to certain string theory partition functions (see e.”
- Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers (2017, background): “onent Ei,j/Ei,j−1. This corresponds to the case when |vi,j| = 1 for all i,jand Ci is the conjugacy class of a diagonal matrix. Thegenericity conditionforcharacter varieties isformulatedasfollows (see [HLRV11]): 62 POINCARE POLYNOMIALS OF CHARACTER VARIETIES´ Definition 7.11. The data r•,•, v•,• is ge”