2026-09-23T01:29:59Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/124319 2024-09-16 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Dunfield, Nathan Hirani, Anil Rasmussen, Jake Rasmussen, Sarah 2024-05 application/pdf en text Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms The student, Brannon Basilio, accepted the attached license on 2024-04-17 at 18:09. The student, Brannon Basilio, submitted this Dissertation for approval on 2024-04-17 at 18:21. This Dissertation was approved for publication on 2024-04-20 at 10:33. DSpace SAF Submission Ingestion Package generated from Vireo submission #20465 on 2024-09-16 at 00:35:15 Closed surfaces in knot complements and 3-manifolds Basilio, Brannon 2024-04-20 Essential Surfaces Knot Complements 3-manifolds Closed essential surfaces play a key role in the study of the geometry and topology of knots and, more generally, 3-manifolds. This thesis gives several results concerning such objects including a closed form for the number of closed essential surfaces in certain Montesinos knot complements and an algorithm of finding closed totally geodesic surfaces in knot complements and 3-manifolds. Text eng https://hdl.handle.net/2142/124319 Copyright 2024 Brannon Basilio Ph.D. Dissertation Mathematics University of Illinois at Urbana-Champaign Mathematics