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Title: Thurston norms of tunnel number-one manifolds
The Thurston norm of a three-manifold measures the complexity of surfaces representing two-dimensional homology classes. We study the possible unit balls of Thurston norms of three-manifolds [Formula: see text] with [Formula: see text], and whose fundamental groups admit presentations with two generators and one relator. We show that even among this special class, there are three-manifolds such that the unit ball of the Thurston norm has arbitrarily many faces.  more » « less
Award ID(s):
1704364
PAR ID:
10293046
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of Knot Theory and Its Ramifications
Volume:
28
Issue:
09
ISSN:
0218-2165
Page Range / eLocation ID:
1950056
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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