Homological and monodromy representations of framed braid groups

Akishi Ikeda

doi:10.1007/s00220-017-3036-1

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arXiv · 1702.03918

Homological and monodromy representations of framed braid groups

Akishi Ikeda

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Abstract

In this paper, we introduce two new classes of representations of the framed braid groups. One is the homological representation constructed as the action of a mapping class group on a certain homology group. The other is the monodromy representation of the confluent KZ equation, which is a generalization of the KZ equation to have irregular singularities. We also give a conjectural equivalence between these two classes of representations.

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Akishi Ikeda. 2017-02-13. Homological and monodromy representations of framed braid groups. https://doi.org/10.1007/s00220-017-3036-1

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