Estimating a skein module with SL2(ℂ) characters

Doug Bullock

doi:10.1090/s0002-9939-97-03943-9

Estimating a skein module with SL₂(ℂ) characters

Doug Bullock

College of Arts and Sciences

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

7 Scopus citations

Abstract

We introduce a new technique for estimating the number of generators of the Kauffman bracket skein module of a three manifold; one which requires the construction of linear functionals on a simpler version of the module. Of particular interest is the use of representations of the fundamental group into SL₂(ℂ) to generate the functionals.

Original language	English
Pages (from-to)	1835-1839
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	6
DOIs	https://doi.org/10.1090/s0002-9939-97-03943-9
State	Published - 1997

Keywords

3-manifold
Group characters
Knot
Link
Skein module

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10.1090/s0002-9939-97-03943-9

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abstract = "We introduce a new technique for estimating the number of generators of the Kauffman bracket skein module of a three manifold; one which requires the construction of linear functionals on a simpler version of the module. Of particular interest is the use of representations of the fundamental group into SL2(ℂ) to generate the functionals.",

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AB - We introduce a new technique for estimating the number of generators of the Kauffman bracket skein module of a three manifold; one which requires the construction of linear functionals on a simpler version of the module. Of particular interest is the use of representations of the fundamental group into SL2(ℂ) to generate the functionals.

KW - 3-manifold

KW - Group characters

KW - Knot

KW - Link

KW - Skein module

UR - https://www.scopus.com/pages/publications/21744439887

U2 - 10.1090/s0002-9939-97-03943-9

DO - 10.1090/s0002-9939-97-03943-9

M3 - Article

AN - SCOPUS:21744439887

SN - 0002-9939

VL - 125

SP - 1835

EP - 1839

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

Estimating a skein module with SL₂(ℂ) characters

Abstract

Keywords

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