CEU Electronic Theses and Dissertations, 2017
| Author | Yu, Jiangnan |
|---|---|
| Title | A Computation Of Knot Floer Homology Of Special (1,1)-Knots |
| Summary | We will introduce Heegaard decompositions and Heegaard diagrams for three-manifolds and for three-manifolds containing a knot. We define (1,1)-knots and explain the method to obtain the Heegaard diagram for some special (1,1)-knots, and prove that torus knots and 2-bridge knots are (1,1)-knots. We also define the knot Floer chain complex by using the theory of holomorphic disks and their moduli space, and give more explanation on the chain complex of genus-1 Heegaard diagram. Finally, we compute the knot Floer homology groups of the trefoil knot and the (-3,4)-torus knot. |
| Supervisor | András Stipsicz |
| Department | Mathematics MSc |
| Full text | https://www.etd.ceu.edu/2017/yu_jiangnan.pdf |
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