A Family of representations of braid groups on surfaces

Byung Hee An; Ki Hyoung Ko

doi:10.2140/pjm.2010.247.257

A Family of representations of braid groups on surfaces

Byung Hee An, Ki Hyoung Ko

Department of Mathematics Education

Korea Advanced Institute of Science and Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We propose a family of homological representations of the braid groups on surfaces. This family extends linear representations of the braid groups on a disc, such as the Burau representation and the Lawrence-Krammer-Bigelow representation.

Original language	English
Pages (from-to)	257-282
Number of pages	26
Journal	Pacific Journal of Mathematics
Volume	247
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2010.247.257
State	Published - 2010

Keywords

Homological representation
Surface braid group

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10.2140/pjm.2010.247.257

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title = "A Family of representations of braid groups on surfaces",

abstract = "We propose a family of homological representations of the braid groups on surfaces. This family extends linear representations of the braid groups on a disc, such as the Burau representation and the Lawrence-Krammer-Bigelow representation.",

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JO - Pacific Journal of Mathematics

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A Family of representations of braid groups on surfaces

Abstract

Keywords

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