The Alexander polynomial of twisted torus knots in the complementary range

A twisted torus knot T(p,q;r,s) is obtained from the flat-torus diagram of T(p,q) by inserting s full twists along a disk meeting r adjacent strands. Our previous work determined its Alexander polynomial for 1

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.34813
Primary Topic
Geometric and Algebraic Topology
Type
preprint
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preprint

The Alexander polynomial of twisted torus knots in the complementary range

Adnan, Kyungbae Park
arXiv (Cornell University)
Geometric and Algebraic Topology
preprint

The Alexander polynomial of twisted torus knots in the complementary range

Adnan, Kyungbae Park
preprint en

Abstract

A twisted torus knot T(p,q;r,s) is obtained from the flat-torus diagram of T(p,q) by inserting s full twists along a disk meeting r adjacent strands. Our previous work determined its Alexander polynomial for 1

arXiv (Cornell University)
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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The Alexander polynomial of twisted torus knots in the complementary range — Adnan, Kyungbae Park · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS