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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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.; Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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