Bergman tau-function: from random matrices and Frobenius manifolds to spaces of quadratic differentials
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Bibliographic record
Abstract
We discuss the notion of the Bergman tau-function on Hurwitz spaces, spaces of abelian and quadratic differentials on Riemann surfaces. The Bergman tau-function on Hurwitz spaces is nothing but isomonodromic tau-function of Hurwitz Frobenius manifolds; it also appears in genus one contribution to partition function of Hermitian two-matrix model. The Bergman tau-function on spaces of abelian and quadratic differentials appears in the problem of holomorphic factorization of determinants of Laplacians in flat metrics with conical singularities over Riemann surfaces.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
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| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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