Geodesic
Totally geodesic surfaces with arbitrarily many compressions
Jaipong, Pradthana1
1Department 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
Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 643-654
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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.

DOI : 10.2140/agt.2011.11.643
Keywords: totally geodesic surface, figure eight knot, Dehn filling

Jaipong, Pradthana  1

1 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 
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Jaipong, Pradthana. Totally geodesic surfaces with arbitrarily many compressions. Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 643-654. doi: 10.2140/agt.2011.11.643

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