A Loop Theorem for Duality Spaces and Fibred Ribbon Knots.
Actions de groupes finis sur : la conjecture de P. A. Smith
An extension of the Loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set.
Canonical decompositions of 3-manifolds.
Construction of Einstein metrics by generalized Dehn filling
In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
Deformation of string topology into homotopy skein modules.
Failure of the Dehn Lemma on Contractible 4-Manifolds.
Fibred Knots and Disks with Clasps.
Frobenius algebras and skein modules of surfaces in 3-manifolds
For each (commutative) Frobenius algebra there is defined a skein module of surfaces embedded in a given 3-manifold and bounding a prescribed curve system in the boundary. The skein relations are local and generate the kernel of a certain natural extension of the corresponding topological quantum field theory. In particular the skein module of the 3-ball is isomorphic to the ground ring of the Frobenius algebra. We prove a presentation theorem for the skein module with generators incompressible...
Link bordism skein modules
We compute link bordism skein modules of colored oriented links in oriented 3-manifolds. A Hurewicz theorem relating link bordism and link homotopy skein modules is proved.
On constructions of generalized skein modules
Józef Przytycki introduced skein modules of 3-manifolds and skein deformation initiating algebraic topology based on knots. We discuss the generalized skein modules of Walker, defined by fields and local relations. Some results by Przytycki are proven in a more general setting of fields defined by decorated cell-complexes in manifolds. A construction of skein theory from embedded TQFT-functors is given, and the corresponding background is developed. The possible coloring of fields by elements of...
On Representing Homology Classes of 4-Manifolds.
Quelques remarques sur les diagrammes de Heegard
The equivariant Dehn's lemma and loop theorem.
The incidence submanifold of for odd is nonorientable
The Three Big Theorems of Papakyriakopoulos
О топологической характеризации групп Шоттки