Deformations of noncompact projective manifolds

Ballas, Samuel A

doi:10.2140/agt.2014.14.2595

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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

Volume 14, issue 5 (2014)