Invariants of Legendrian links
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/8671 |
| _version_ | 1811078169608847360 |
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| author | Ng, Lenhard Lee, 1976- |
| author2 | Tomasz S. Mrowka. |
| author_facet | Tomasz S. Mrowka. Ng, Lenhard Lee, 1976- |
| author_sort | Ng, Lenhard Lee, 1976- |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001. |
| first_indexed | 2024-09-23T10:54:51Z |
| format | Thesis |
| id | mit-1721.1/8671 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T10:54:51Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/86712019-04-10T21:27:19Z Invariants of Legendrian links Ng, Lenhard Lee, 1976- Tomasz S. Mrowka. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001. Includes bibliographical references (p. 81-83). We introduce new, readily computable invariants of Legendrian knots and links in standard contact three-space, allowing us to answer many previously open questions in contact knot theory. The origin of these invariants is the powerful Chekanov-Eliashberg differential graded algebra, which we reformulate and generalize. We give applications to Legendrian knots and links in three-space and in the solid torus. A related question, the calculation of the maximal Thurston-Bennequin number for a link, is answered for some large classes of links. by Lenhard Lee Ng. Ph.D. 2005-08-23T22:11:52Z 2005-08-23T22:11:52Z 2001 2001 Thesis http://hdl.handle.net/1721.1/8671 49650782 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 83 p. 7615274 bytes 7615034 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Ng, Lenhard Lee, 1976- Invariants of Legendrian links |
| title | Invariants of Legendrian links |
| title_full | Invariants of Legendrian links |
| title_fullStr | Invariants of Legendrian links |
| title_full_unstemmed | Invariants of Legendrian links |
| title_short | Invariants of Legendrian links |
| title_sort | invariants of legendrian links |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/8671 |
| work_keys_str_mv | AT nglenhardlee1976 invariantsoflegendrianlinks |