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arXiv · 1906.00071

Dimensional interpolation and the Selberg integral

V. Golyshev·D. van Straten·D. Zagier
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Abstract

We show that a version of dimensional interpolation for the Riemann--Roch--Hirzebruch formalism in the case of a grassmannian leads to an expression for the Euler characteristic of line bundles in terms of a Selberg integral. We propose a way to interpolate higher Bessel equations, their wedge powers, and monodromies thereof to non--integer orders, and link the result with the dimensional interpolation of the RRH formalism in the spirit of the gamma conjectures.

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V. Golyshev, D. van Straten, D. Zagier. 2019-05-31. Dimensional interpolation and the Selberg integral. https://doi.org/10.1016/j.geomphys.2019.06.006

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