On the Knot Floer Homology of Twisted Torus Knots

dc.contributor.author

Vafaee, F

dc.date.accessioned

2018-09-02T17:23:23Z

dc.date.available

2018-09-02T17:23:23Z

dc.date.issued

2015

dc.date.updated

2018-09-02T17:23:20Z

dc.description.abstract

© 2014 The Author(s) 2014. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com. In this paper, we study the knot Floer homology of a subfamily of twisted (p,q) torus knots where q=plusmn;1 (mod p). Specifically, we classify the knots in this subfamily that admit L-space surgeries. To do calculations, we use the fact that these knots are (1,1) knots and, therefore, admit a genus one Heegaard diagram.

dc.identifier.issn

1073-7928

dc.identifier.issn

1687-0247

dc.identifier.uri

https://hdl.handle.net/10161/17372

dc.language

English

dc.publisher

Oxford University Press (OUP)

dc.relation.ispartof

International Mathematics Research Notices

dc.relation.isversionof

10.1093/imrn/rnu130

dc.subject

Science & Technology

dc.subject

Physical Sciences

dc.subject

Mathematics

dc.subject

HOLOMORPHIC DISKS

dc.subject

SPACE SURGERIES

dc.subject

INVARIANTS

dc.title

On the Knot Floer Homology of Twisted Torus Knots

dc.type

Journal article

pubs.begin-page

6516

pubs.end-page

6537

pubs.issue

15

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.publication-status

Published

pubs.volume

2015

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