A polynomial invariant of links in a solid torus

Posted on:1997-05-11

Degree:Ph.D

Type:Dissertation

University:Louisiana State University and Agricultural & Mechanical College

Candidate:Kim, Jaehoo Park

Full Text:PDF

GTID:1460390014981213

Subject:Mathematics

Abstract/Summary:

A polynomial invariant of links in a solid torus is defined through an algebra ;A link in the solid torus is isotopic to a closed braid which is a braid in the braid group of the annulus. We find an invariant of links through a represention ;;of ;An invariant of links in a solid torus was discovered by S. Lambropoulou through the type-B Hecke algebra. It can be recovered from...

Keywords/Search Tags:

Solid torus, Polynomial invariant

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