arXiv Analytics

Sign in

arXiv:1306.6707 [math.GT]AbstractReferencesReviewsResources

Pretzel knots with L-space surgeries

Tye Lidman, Allison H. Moore

Published 2013-06-28Version 1

A rational homology sphere whose Heegaard Floer homology is the same as that of a lens space is called an L-space. We classify pretzel knots with any number of tangles which admit L-space surgeries. This rests on Gabai's classification of fibered pretzel links.

Comments: 24 pages, 11 figures, 1 table
Categories: math.GT
Subjects: 57M25, 57M27, 57R58
Related articles: Most relevant | Search more
arXiv:1307.5317 [math.GT] (Published 2013-07-19, updated 2013-10-29)
Reducible surgeries and Heegaard Floer homology
arXiv:1208.0394 [math.GT] (Published 2012-08-02)
Heegaard Floer homology of (n,n)-torus links: computations and questions
arXiv:math/0209149 [math.GT] (Published 2002-09-12, updated 2003-05-23)
Heegaard Floer homology and alternating knots

Links

Toolbox