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September 2019 Spin networks, Ehrhart quasipolynomials, and combinatorics of dormant indigenous bundles
Yasuhiro Wakabayashi
Kyoto J. Math. 59(3): 649-684 (September 2019). DOI: 10.1215/21562261-2019-0020

Abstract

It follows from work of S. Mochizuki, F. Liu, and B. Osserman that there is a relationship between Ehrhart’s theory concerning rational polytopes and the geometry of the moduli stack classifying dormant indigenous bundles on a proper hyperbolic curve in positive characteristic. This relationship was established by considering the (finite) cardinality of the set consisting of certain colorings on a 3-regular graph called spin networks. In the present article, we recall the correspondences between spin networks, lattice points of rational polytopes, and dormant indigenous bundles and present some identities and explicit computations of invariants associated with the objects involved.

Citation

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Yasuhiro Wakabayashi. "Spin networks, Ehrhart quasipolynomials, and combinatorics of dormant indigenous bundles." Kyoto J. Math. 59 (3) 649 - 684, September 2019. https://doi.org/10.1215/21562261-2019-0020

Information

Received: 6 November 2014; Revised: 5 April 2017; Accepted: 15 May 2017; Published: September 2019
First available in Project Euclid: 2 July 2019

zbMATH: 07108006
MathSciNet: MR3990181
Digital Object Identifier: 10.1215/21562261-2019-0020

Subjects:
Primary: 14H10
Secondary: 52B05

Rights: Copyright © 2019 Kyoto University

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Vol.59 • No. 3 • September 2019
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