Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Baker-Akhiezer spinor kernel and tau-functions on moduli spaces of
  meromorphic differentials   In this paper we study Baker-Akhiezer spinor kernel on moduli spaces of
meromorphic differentials on Riemann surfaces. We introduce the Baker-Akhiezer
tau-function which is related to both Bergman tau-function (which was studied
before in the context of Hurwitz spaces and spaces of holomorphic and quadratic
differentials) and KP tau-function on such spaces. In particular, we derive
variational formulas of Rauch-Ahlfors type on moduli spaces of meromorphic
differentials with prescribed singularities: we use the system of homological
coordinates, consisting of absolute and relative periods of the meromorphic
differential, and show how to vary the fundamental objects associated to a
Riemann surface (the matrix of $b$-periods, normalized Abelian differentials,
the Bergman bidifferential, the Szeg\"o kernel and the Baker-Akhiezer spinor
kernel) with respect to these coordinates. The variational formulas encode
dependence both on the moduli of the Riemann surface and on the choice of
meromorphic differential (variation of the meromorphic differential while
keeping the Riemann surface fixed corresponds to flows of KP type). Analyzing
the global properties of the Bergman and Baker-Akhiezer tau-functions we
establish relationships between various divisor classes on the moduli spaces.

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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys