On the Knot Floer Homology of Twisted Torus Knots

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2015

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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.

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10.1093/imrn/rnu130

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Vafaee, F (2015). On the Knot Floer Homology of Twisted Torus Knots. International Mathematics Research Notices, 2015(15). pp. 6516–6537. 10.1093/imrn/rnu130 Retrieved from https://hdl.handle.net/10161/17372.

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