Plumbing and slices of Quasifuchsian space- Sara Maloni

Conference Title: GEAR Retreat 2012 Theme: Hyperbolic 3-manifolds (5 of 5) Title: Plumbing and slices of Quasifuchsian space Speaker: Sara Maloni, University of Warwick; Date and Time: Wednesday August 8, 15:20 Description: Given a surface S, Kra's plumbing construction endows S with a projective structure for which the associated holonomy representation depends on some complex 'plumbing parameters'. After reviewing the definition of the Dehn-Thurston coordinates for simple closed curves, of the Maskit embedding, of the pleating rays and of the plumbing construction, we will describe some new results involving these topics. Time permitting, we will define other slices of the Quasifuchsian space QF(S), some properties satisfied by these slices and we will show some pictures. Sponsor: GEAR Network Local host: UIUC Department of Mathematics Funding provided by: National Science Foundation Research Networks in Mathematical Sciences programAbstract: Prof. Sara Maloni, in this GEAR Retreat 2012 session on Hyperbolic 3-manifolds, will discuss the definition of the Dehn-Thurston coordinates for simple closed curves, of the Maskit embedding, of the pleating rays and of the plumbing construction, we will describe some new results involving these topics.