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arXiv · 0901.0112

On $τ$-function of the quadrilateral lattice

Adam Doliwa
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Abstract

We investigate the $τ$-function of the quadrilateral lattice using the nonlocal $\bar\partial$-dressing method, and we show that it can be identified with the Fredholm determinant of the integral equation which naturally appears within that approach.

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Adam Doliwa. 2008-12-31. On $τ$-function of the quadrilateral lattice. https://doi.org/10.1088/1751-8113%2F42%2F40%2F404008

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