Topology Atlas | Conferences

Knots in Washington XXXII, Categorification of Knots, Algebras, and Quandles; Quantum Computing
April 29 - May 1, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Invariants for knots in circle bundles
by
Joan Licata
Stanford University
Coauthors: Josh Sabloff

Many knot invariants are computed from a projection; for knots in Seifert fibered spaces, the natural projection is to a two-dimensional orbifold. We use such a diagram to construct rational Seifert surfaces and compute linking numbers. When the ambient manifold is a contact Seifert fibered space, this approach allows us to compute rational classical invariants and combinatorial Legendrian contact homology.

Date received: April 18, 2011

Copyright © 2011 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbcc-14.