A criterion for homeomorphism between closed Haken manifolds.
A criterion for the noncellularity of arcs
A Euclidean geometric invariant of framed (Un)Knots in manifolds.
A faithful linear-categorical action of the mapping class group of a surface with boundary
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.
A Family of Impossible Figures Studied by Knot Theory
A filtration of the set of integral homological 3-spheres.
A finite graphic calculus for 3-manifolds.
A flat plane that is not the limit of periodic flat planes.
A free group acting without fixed points on the rational unit sphere
A functor-valued invariant of tangles.
A GAP package for braid orbit computation and applications.
A Garside presentation for Artin-Tits groups of type
We prove that an Artin-Tits group of type is the group of fractions of a Garside monoid, analogous to the known dual monoids associated with Artin-Tits groups of spherical type and obtained by the “generated group” method. This answers, in this particular case, a general question on Artin-Tits groups, gives a new presentation of an Artin-Tits group of type , and has consequences for the word problem, the computation of some centralizers or the triviality of the center. A key point of the proof...
A generalization of Jaeger-Nomura's Bose Mesner algebra associated to type II matrices
A category generalizing Jaeger-Nomura algebra associated to a spin model is given. It is used to prove some equivalence among the four conditions by Jaeger-Nomura for spin models of index 2.
A generalized bridge number for links in 3-manifolds.
A generating function for spin network evaluations
A genus for N-dimensional knots and links.
A geometric interpretation of Milnor's triple linking numbers.
A geometric invariant of discrete groups.
A geometric study of Fibonacci groups.
A glimpse at knot theory