Invariants of Legendrian links
Name
49650782-MIT.pdf
Description
Full printable version
Size
7.26 MB
Format
Adobe PDF
Checksum (MD5)
567b49bdf13f02d6c95e9999c55eefda
Author(s)
Ng, Lenhard Lee, 1976-
Advisor(s)
Tomasz S. Mrowka.
Date Issued
2001
Publisher
Massachusetts Institute of Technology
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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