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oai:www.ideals.illinois.edu:2142/24100 2023-07-10 col_2142_16340 col_2142_5131 com_2142_16339 com_2142_8903 com_2142_5130

Leininger, Christopher J. Dunfield, Nathan M. Leininger, Christopher J. Alexander, Stephanie B. Athreya, Jayadev S. Jaipong, Pradthana 2011-05-25T15:05:08Z 2011-05-25T15:05:08Z 2011-05-25T15:05:08Z 2011-05 A closed totally geodesic surface in the figure eight knot complement remains incompressible in all but finitely many Dehn fllings. In this thesis, 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-04-12T15:57:14Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 7 Add01.tex: 90335 bytes, checksum: 916ff20fbe23324ff596f212ea9a09b8 (MD5) torus.pdf: 5617 bytes, checksum: 170937bffa406e226d6817e7cb561331 (MD5) tetrahedra.pdf: 10465 bytes, checksum: f5c16f2bdd2c0983445e88267d81b69b (MD5) neiborhood.pdf: 8072 bytes, checksum: 89b8b658e18d5003d0720188687cc9e0 (MD5) modular.pdf: 4839 bytes, checksum: 38aab7abdf5d78083315039ddb24bf6e (MD5) multitube.bib: 80748 bytes, checksum: 629fc1961f5fbd39053ac90ee7a09768 (MD5) Jaipong_Pradthana.pdf: 370237 bytes, checksum: 010a7490535c3e187a42889d134d55b7 (MD5) Made available in DSpace on 2011-05-25T15:05:08Z (GMT). No. of bitstreams: 8 Jaipong_Pradthana.pdf: 370237 bytes, checksum: 010a7490535c3e187a42889d134d55b7 (MD5) multitube.bib: 80748 bytes, checksum: 629fc1961f5fbd39053ac90ee7a09768 (MD5) modular.pdf: 4839 bytes, checksum: 38aab7abdf5d78083315039ddb24bf6e (MD5) neiborhood.pdf: 8072 bytes, checksum: 89b8b658e18d5003d0720188687cc9e0 (MD5) tetrahedra.pdf: 10465 bytes, checksum: f5c16f2bdd2c0983445e88267d81b69b (MD5) torus.pdf: 5617 bytes, checksum: 170937bffa406e226d6817e7cb561331 (MD5) license.txt: 4067 bytes, checksum: 5019fc94603d3038a8578c625baeaa4c (MD5) Add01.tex: 90335 bytes, checksum: 916ff20fbe23324ff596f212ea9a09b8 (MD5) http://hdl.handle.net/2142/24100 en Copyright 2011 Pradthana Jaipong Totally geodesic surface figure eight knot complement compressing surface hyperbolic three manifold Totally geodesic surfaces with arbitrarily many compressions Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD