MIXED HODGE STRUCTURES OF THE MODULI SPACES OF PARABOLIC CONNECTIONS
| Autor: | Arata Komyo |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
General Mathematics
010102 general mathematics Hodge bundle Mathematical analysis 01 natural sciences Moduli space Moduli of algebraic curves symbols.namesake Character (mathematics) 0103 physical sciences Poincaré conjecture symbols Higgs boson Computer Science::Programming Languages 010307 mathematical physics 0101 mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Nagoya Mathematical Journal. 225:185-206 |
| ISSN: | 2152-6842 0027-7630 |
| DOI: | 10.1017/nmj.2016.38 |
| Popis: | In this paper, we investigate the mixed Hodge structures of the moduli space of -stable parabolic Higgs bundles and the moduli space of -stable regular singular parabolic connections. We show that the mixed Hodge polynomials are independent of the choice of generic eigenvalues and the mixed Hodge structures of these moduli spaces are pure. Moreover, by the Riemann–Hilbert correspondence, the Poincare polynomials of character varieties are independent of the choice of generic eigenvalues. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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