4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.
...-Applications dans une variété
«Charles Ehresmann : 100 ans»
ℓ²-homology and planar graphs
In his 1930 paper, Kuratowski proves that a finite graph Γ is planar if and only if it does not contain a subgraph that is homeomorphic to K₅, the complete graph on five vertices, or , the complete bipartite graph on six vertices. This result is also attributed to Pontryagin. In this paper we present an ℓ²-homological method for detecting non-planar graphs. More specifically, we view a graph Γ as the nerve of a related Coxeter system and construct the associated Davis complex, . We then use a...
«La classe duale aux points doubles» d'une application
...p-Operationen auf rationalen Homologiesphären mit vorgeschriebener Fixpunktmenge.
...-reducing Dehn surgeries and 1-bridge knots.
"The Optiverse" and Other Sphere Eversions
...-type-invariants associated to PU(2)-bundles and the differentiable structure of Barlow's surface.
[unknown]
[unknown]
[unknown]
[unknown]
(Un)stability and bordism groups in PDEs.
-foliations and Weil prolongations
-энтропия выпуклых множеств и функций.
-curves inducing two different knots with the same -fold branched covering spaces
For a knot with a strong inversion induced by an unknotting tunnel, we have a double covering projection branched over a trivial knot , where is the axis of . Then a set is called a -curve. We construct -curves and the cyclic branched coverings over -curves, having two non-isotopic Heegaard decompositions which are one stable equivalent.
-sphères
-periodic homotopy groups of the Dwyer-Wilkerson space.
-chamber systems, coloured graphs and orbifolds.