Twisted Alexander norms give lower bounds on the Thurston norm
Stefan Friedl, Taehee Kim
Abstract
We introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number bigger than one generalizing norms of McMullen and Turaev. We show that twisted Alexander norms give lower bounds on the Thurston norm of a 3-manifold. Using these we completely determine the Thurston norm of many 3-manifolds which can not be determined by norms of McMullen and Turaev.
Create a lesson
Related papers
Mapping class groups have a unique Polish group structure
Tyrone Ghaswala, Sumun Iyer, Robert Alonzo Lyman et al.
Around the Andreadakis-Johnson filtration
Yusuke Kuno
Mapping class groups of simply connected closed spin 5-manifolds with no 2- and 3-torsion in homology
Huize Jin
A note on surfaces with large systoles
Yifei Cai
Real ideal points, Conway spheres, and left-orderable Dehn fillings
Yi Wang
All once-extended 3D TQFTs are Reshetikhin--Turaev theories
Glen Lim