Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells
Necessary Conditions for the Existence of Branched Coverings.
Neuwirth manifolds and colourings of graphs.
New applications of Luttinger's surgery.
New categorifications of the chromatic and dichromatic polynomials for graphs
For each graph G, we define a chain complex of graded modules over the ring of polynomials whose graded Euler characteristic is equal to the chromatic polynomial of G. Furthermore, we define a chain complex of doubly-graded modules whose (doubly) graded Euler characteristic is equal to the dichromatic polynomial of G. Both constructions use Koszul complexes, and are similar to the new Khovanov-Rozansky categorifications of the HOMFLYPT polynomial. We also give a simplified definition of this triply-graded...
New link invariants and applications.
New topologically slice knots.
Nicht frei äquivalente Darstellungen von Knotengruppen mit einer definierenden Relation.
Nielsen number is a knot invariant
We show that the Nielsen number is a knot invariant via representation variety.
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory.
Nil-manifolds as links of isolated singularities
Nilpotent completions and Lie rings associated to link groups.
Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3
En définissant une nouvelle classe de nœuds dans les variétés de dimension 3, on obtient une démonstration plus classique du théorème de rigidité virtuelle des variétés hyperboliques de D. Gabai.
Nœuds qui ne sont pas déterminés par leur complément dans les 3-variétés à bord
Nombre de ponts et générateurs méridiens des entrelacs de Montesinos.
Nombres de Milnor d'un entrelacs Brunnien
Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups
For a knot in the 3-sphere and a regular representation of its group into SU(2) we construct a non abelian Reidemeister torsion form on the first twisted cohomology group of the knot exterior. This non abelian Reidemeister torsion form provides a volume form on the SU(2)-representation space of . In another way, we construct using Casson’s original construction a natural volume form on the SU(2)-representation space of . Next, we compare these two apparently different points of view on the representation...
Non equivalence of NMS flows on
We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.
Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
Let be a dg algebra over and let be a dg -bimodule. We show that under certain technical hypotheses on , a noncommutative analog of the Hodge-to-de Rham spectral sequence starts at the Hochschild homology of the derived tensor product and converges to the Hochschild homology of . We apply this result to bordered Heegaard Floer theory, giving spectral sequences associated to Heegaard Floer homology groups of certain branched and unbranched double covers.
Noncommutative knot theory.