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Invariants of Legendrian links

Author(s)
Ng, Lenhard Lee, 1976-
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Tomasz S. Mrowka.
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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
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Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
 
Includes bibliographical references (p. 81-83).
 
Date issued
2001
URI
http://hdl.handle.net/1721.1/8671
Department
Massachusetts Institute of Technology. Dept. of Mathematics.
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.

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  • Mathematics - Ph.D. / Sc.D.
  • Mathematics - Ph.D. / Sc.D.

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