DAHAs of Type $C^\vee C_n$ and Character Varieties
| Autor: | Chalykh, Oleg, Ryan, Bradley |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper studies the spherical subalgebra of the double affine Hecke algebra of type $C^\vee C_n$ and relates it, at the classical level $q = 1$, to a certain character variety of the four-punctured Riemann sphere. This establishes a conjecture from math.QA/0504089. As a by-product, we find a completed phase space for the trigonometric van Diejen system, explicitly integrate its dynamics and explain how it can be obtained via Hamiltonian reduction. Comment: 39 pages; preliminary version (comments are welcome!) |
| Databáze: | arXiv |
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