-theory of oriented Grassmann manifolds
-theory of virtually poly-surface groups.
conjecture for Artin groups
The purpose of this paper is to put together a large amount of results on the conjecture for Artin groups, and to make them accessible to non-experts. Firstly, this is a survey, containing basic definitions, the main results, examples and an historical overview of the subject. But, it is also a reference text on the topic that contains proofs of a large part of the results on this question. Some proofs as well as few results are new. Furthermore, the text, being addressed to non-experts, is as...
K3 surfaces: moduli spaces and Hilbert schemes.
Karoubi’s relative Chern character and Beilinson’s regulator
We construct a variant of Karoubi’s relative Chern character for smooth varieties over and prove a comparison result with Beilinson’s regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos’ Theorem that for number fields Borel’s regulator is twice Beilinson’s regulator.
Kashaev's conjecture and the Chern-Simons invariants of knots and links.
Kazhdan constants for SL (3, Z).
Kazhdan groups acting on compact manifolds.
Khovanov homology, its definitions and ramifications
Mikhail Khovanov defined, for a diagram of an oriented classical link, a collection of groups labelled by pairs of integers. These groups were constructed as the homology groups of certain chain complexes. The Euler characteristics of these complexes are the coefficients of the Jones polynomial of the link. The original construction is overloaded with algebraic details. Most of the specialists use adaptations of it stripped off the details. The goal of this paper is to overview these adaptations...
Khovanov-Rozansky homology for embedded graphs
For any positive integer n, Khovanov and Rozansky constructed a bigraded link homology from which you can recover the 𝔰𝔩ₙ link polynomial invariants. We generalize the Khovanov-Rozansky construction in the case of finite 4-valent graphs embedded in a ball B³ ⊂ ℝ³. More precisely, we prove that the homology associated to a diagram of a 4-valent graph embedded in B³ ⊂ ℝ³ is invariant under the graph moves introduced by Kauffman.
Khovanov's homology for tangles and cobordisms.
Killing foliations
k-Invariants of knotted 2-spheres.
Klassifikation 2-dimensionaler Singularitäten mit auflösbaren lokalen Fundamentalgruppen.
Klein Hyperbottle
Kleinian groups and the complex of curves.
Kleinian groups and the rank problem.
Knit products of graded Lie algebras and groups
Let and be graded Lie algebras whose grading is in or , but only one of them. Suppose that is a derivatively knitted pair of representations for , i.e. and satisfy equations which look “derivatively knitted"; then , endowed with a suitable bracket, which mimics semidirect products on both sides, becomes a graded Lie algebra . This graded Lie algebra is called the knit product of and . The author investigates the general situation for any graded Lie subalgebras and of a graded...
Knot and braid invariants from contact homology. I.
Knot and braid invariants from contact homology. II.