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      On the knot Floer homology of twisted torus knots

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          Abstract

          In this paper we study the knot Floer homology of a subfamily of twisted \((p, q)\) torus knots where \(q \equiv\pm1\) (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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          On knot Floer homology and lens space surgeries

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            Spherical space forms and Dehn filling

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              Constructing lens spaces by surgery on knots

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                Author and article information

                Journal
                14 November 2013
                2014-09-03
                Article
                10.1093/imrn/rnu130
                1311.3711
                b4d9781a-51d3-4953-a241-aa7cb3cd06b6

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Int. Math. Res. Notices (2014)
                17 pages, 12 figures; v2: minor revisions throughout
                math.GT

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