Corpus ID: 203626750

Deletion-contraction triangles for Hausel-Proudfoot varieties

@article{Dancso2019DeletioncontractionTF,
  title={Deletion-contraction triangles for Hausel-Proudfoot varieties},
  author={Zsuzsanna Dancso and M. McBreen and V. Shende},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}

Zsuzsanna Dancso, M. McBreen, V. Shende

Published 2019

Mathematics

arXiv: Algebraic Geometry

To a graph, Hausel and Proudfoot associate two complex manifolds, B and D, which behave, respectively like moduli of local systems on a Riemann surface, and moduli of Higgs bundles. For instance, B is a moduli space of microlocal sheaves, which generalize local systems, and D carries the structure of a complex integrable system. We show the Euler characteristics of these varieties count spanning subtrees of the graph, and the point-count over a finite field for B is a generating polynomial for… CONTINUE READING

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