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For $G = \mathrm {GL}_2, \mathrm {SL}_2, \mathrm {PGL}_2$ we compute the intersection E-polynomials and the intersection Poincaré polynomials of the G-character variety of a compact Riemann surface C and… Click to show full abstract
For $G = \mathrm {GL}_2, \mathrm {SL}_2, \mathrm {PGL}_2$ we compute the intersection E-polynomials and the intersection Poincaré polynomials of the G-character variety of a compact Riemann surface C and of the moduli space of G-Higgs bundles on C of degree zero. We derive several results concerning the P=W conjectures for these singular moduli spaces.
Keywords:
intersection;
character varieties;
varieties surface;
rank character;
cohomology rank;
intersection cohomology
Journal Title: Journal of the Institute of Mathematics of Jussieu
Year Published: 2021
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Journal Title: Journal of the Institute of Mathematics of Jussieu
Year Published: 2021
Link to full text (if available)
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recommendations!