Totally geodesic surfaces with arbitrarily many compressions

Jaipong, Pradthana

doi:10.2140/agt.2011.11.643

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Totally geodesic surfaces with arbitrarily many compressions

Pradthana Jaipong

Algebraic & Geometric Topology 11 (2011) 643–654

DOI: 10.2140/agt.2011.11.643

Abstract

A closed totally geodesic surface in the figure eight knot complement remains incompressible in all but finitely many Dehn fillings. In this paper, we show that there is no universal upper bound on the number of such fillings, independent of the surface. This answers a question of Ying-Qing Wu.

Keywords

totally geodesic surface, figure eight knot, Dehn filling

Mathematical Subject Classification 2000

Primary: 57N10, 57N25

Secondary: 57N50

References

Publication

Received: 3 September 2010

Revised: 7 November 2010

Accepted: 13 December 2010

Published: 24 February 2011

Authors

Pradthana Jaipong
Department of Mathematics University of Illinois at Urbana-Champaign 1409 W Green Street Urbana IL 61801 USA	Department of Mathematics Science Faculty Chiangmai University Chiangmai 50200 Thailand

Volume 11, issue 2 (2011)