Grid homology for knots and links /

510MS
Am512

136733

Ozsvath, Peter S. Grid homology for knots and links / Peter S. Ozsvath, Andras I. Stipsicz and Zoltan Szabo. - Providence : American Mathematical Society, 2015.
x, 410 p. : illustrations ; 27 cm. - (Mathematical surveys and monographs ; v 208.) Content notes : 1. Introduction --
2. Knots and links in S3 --
3. Grid diagrams --
4. Grid homology --
5. The invariance of grid homology --
6. The unknotting number and tau --
7. Basic properties of grid homology --
8. The slice genus and tau --
9. The oriented skein exact sequence --
10. Grid homologies of alternating knots --
11. Grid homology for links --
12. Invariants of Legendrian and transverse knots --
13. The filtered grid complex --
14. More on the filtered chain complex --
15. Grid homology over the integers --
16. The holomorphic theory --
17. Open problems --
Appendixes --
Bibliography --
Index. 9781470417376 (alk. paper) * Knot theory. Link theory. Homology theory. * Stipsicz, Andras I.,Szabo, Zoltan, * Title * Series