Topology Atlas | Conferences

Knots in Washington XXVIII; Follow up to Workshop on Knots and Quantum Computing (December, 2007 at UT Dallas)
February 27 - March 1, 2009
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UTD), Jozef H. Przytycki (GWU), Vish Ramakrishna (UTD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Hao Wu (GWU)

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Configurations of Lagrangians in R^4
by
Ryan Hoban
University of Maryland

Abstract: The set of Lagrangian subspaces of a symplectic vector space is a submanifold of the Grassmannian that is invariant under the action of the symplectic group. In real dimension 4, this identifies with the three dimensional Einstein Universe. We will describe an invariant of quadruples of transverse Lagrangians which generalizes the classical cross ratio for quadruples of points in RP^1. This invariant can then be used to study the deformation space for some representations into the symplectic group.

Date received: February 26, 2009

Copyright © 2009 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 # cayk-16.