Ideal Turaev-Viro invariants.
Incompressibilité des feuilles de germes de feuilletages holomorphes singuliers
Nous considérons un germe de feuilletage holomorphe singulier non-dicritique défini sur une boule fermée , satisfaisant des hypothèses génériques, de courbe de séparatrice . Nous démontrons l’existence d’un voisinage ouvert de dans tel que, pour toute feuille de , l’inclusion naturelle induit un monomorphisme au niveau du groupe fondamental. Pour cela, nous introduisons la notion géométrique de « connexité feuilletée » avec laquelle nous réinterprétons la notion d’incompressibilité....
Indecomposable racks of order .
Infinite order amphicheiral knots.
Infinitely many two-variable generalisations of the Alexander-Conway polynomial.
Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant
Let be a compact connected oriented surface with one boundary component, and let be the fundamental group of . The Johnson filtration is a decreasing sequence of subgroups of the Torelli group of , whose -th term consists of the self-homeomorphisms of that act trivially at the level of the -th nilpotent quotient of . Morita defined a homomorphism from the -th term of the Johnson filtration to the third homology group of the -th nilpotent quotient of . In this paper, we replace groups...
Integral HOMFLY-PT and -link homology.
Integral lattices in TQFT
Introducing Regina, the 3-manifold topology software.
Introduction to the basics of Heegaard Floer homology
This paper provides an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. The exposition is designed to be comprehensible to people without any prior knowledge of the subject.
Invariants of -type links via an extension of the Kauffman bracket.
Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
Given a group π, we use involutory Hopf π-coalgebras to define a scalar invariant of flat π-bundles over 3-manifolds. When π = 1, this invariant equals the one for 3-manifolds constructed by Kuperberg from involutory Hopf algebras. We give examples which show that this invariant is non-trivial.