Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds

Uwe Kaiser

doi:10.1090/S0002-9947-03-03424-X

Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds

Uwe Kaiser

Mathematics Department

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

4 Scopus citations

2 Downloads (Pure)

Abstract

We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.

Original language	American English
Pages (from-to)	3869-3880
Number of pages	12
Journal	Transactions of the American Mathematical Society
Volume	356
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9947-03-03424-X
State	Published - Oct 2004

EGS Disciplines

Mathematics

Access to Document

10.1090/S0002-9947-03-03424-X

Quantum Deformations of Fundamental Groups of Oriented 3-ManifoldFinal published version, 210 KBLicense: Other

Cite this

@article{5b4a7e8506244a518006a8ecc2020530,

title = "Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds",

abstract = " We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.",

author = "Uwe Kaiser",

year = "2004",

month = oct,

doi = "10.1090/S0002-9947-03-03424-X",

language = "American English",

volume = "356",

pages = "3869--3880",

number = "10",

}

TY - JOUR

T1 - Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds

AU - Kaiser, Uwe

PY - 2004/10

Y1 - 2004/10

N2 - We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.

AB - We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.

UR - https://www.scopus.com/pages/publications/4644237027

UR - https://scholarworks.boisestate.edu/math_facpubs/97

U2 - 10.1090/S0002-9947-03-03424-X

DO - 10.1090/S0002-9947-03-03424-X

M3 - Article

SN - 0002-9947

VL - 356

SP - 3869

EP - 3880

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 10

ER -

Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds

Abstract

EGS Disciplines

Access to Document

Other files and links

Fingerprint

Cite this