Földvári, Viktória (2021) The knot invariant Y using grid homologies. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 30 (07). ISSN 0218-2165
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Official URL: http://doi.org/10.1142/S0218216521500516
Abstract
According to the idea of Ozsvath, Stipsicz and Szabo, we define the knot invariant Y without the holomorphic theory, using constructions from grid homology. We develop a homology theory using grid diagrams, and show that Y, as introduced this way, is a well- defined knot invariant. We reprove some important propositions using the new techniques, and show that Y provides a lower bound on the unknotting number.
| Item Type: | Article |
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| Uncontrolled Keywords: | knot Floer homology; Unknotting number; Grid homology; Y knot invariant; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 14 Jan 2022 09:04 |
| Last Modified: | 14 Jan 2022 09:04 |
| URI: | http://real.mtak.hu/id/eprint/135898 |
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