The construction of affine structures on virtually nilpotent groups.
The Contractibility of the Homeomorphism Group of Some Product Spaces by Wong's Method.
The convex and concave decomposition of manifolds with real projective structures
The Conway potential function for links.
The co-rank conjecture for 3-manifold groups.
The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras
We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.
The covering semigroup of invariant control systems on Lie groups
It is well known that the class of invariant control systems is really relevant both from theoretical and practical point of view. This work was an attempt to connect an invariant systems on a Lie group with its covering space. Furthermore, to obtain algebraic properties of this set. Let be a Lie group with identity and a cone in the Lie algebra of that satisfies the Lie algebra rank condition. We use a formalism developed by Sussmann, to obtain an algebraic structure on the covering...
The cyclic groups and the free loop space.
The cyclic homology of
The cyclotomic trace and algebraic K-theory of spaces.
The definition of equivalence of combinatorial imbeddings
The Definition of Topological Manifolds
This article introduces the definition of n-locally Euclidean topological spaces and topological manifolds [13].
The deformation theory of anti-self-dual conformal structures.
The Degree and Branch Set of a Branched Covering.
The Degree of a Map Between Surfaces.
The Dehn functions of and
For at least 3, the Dehn functions of and are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for bigger than 3 to the case . In this note we give a shorter, more direct proof of this last reduction.
The density problem for infinite dimensional group actions
The Determinant in the Laurent Ring and the L2-Reidemeister-Franz Torsion.
The determinant of oriented rotants
We study the determinant of pairs of rotants of Anstee, Przytycki and Rolfsen. We consider various notions of rotant orientations.
The diagrammatic Soergel category and -foams, for .