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Deformations of noncompact projective manifolds

Samuel A Ballas
Algebraic & Geometric Topology 14 (2014) 2595–2625
DOI: 10.2140/agt.2014.14.2595
Abstract

In this paper, we demonstrate that the complete hyperbolic structures of various two-bridge knots and links cannot be deformed to inequivalent strictly convex projective structures. We also prove a complementary result showing that under certain rigidity hypotheses, branched covers of amphicheiral knots admit nontrivial, strictly convex deformations near their complete hyperbolic structure.

Keywords
projective structures, two-bridge knots, rigidity
Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 57M60
References
Publication
Received: 21 November 2012
Revised: 13 January 2014
Accepted: 13 March 2014
Published: 5 November 2014
Authors
Samuel A Ballas
Department of Mathematics
University of California Santa Barbara
South Hall, Room 6607
Santa Barbara, CA 93106
USA
http://www.math.ucsb.edu/~sballas