Results 21 to 30 of about 106,327 (167)
Algebraic Boundaries of Convex Semi-algebraic Sets [PDF]
, 2014 We study the algebraic boundary of a convex semi-algebraic set via duality in convex and algebraic geometry. We generalize the correspondence of facets of a polytope to the vertices of the dual polytope to general semi-algebraic convex bodies.
Sinn, Rainer
core +2 more sources
Configuration spaces and Vassiliev classes in any dimension [PDF]
, 2002 The real cohomology of the space of imbeddings of S^1 into R^n, n>3, is studied by using configuration space integrals. Nontrivial classes are explicitly constructed. As a by-product, we prove the nontriviality of certain cycles of imbeddings obtained by
Alberto S Cattaneo +16 more
core +4 more sources
Hyperdescent and \'etale K-theory
, 2021 We study the \'etale sheafification of algebraic K-theory, called \'etale K-theory. Our main results show that \'etale K-theory is very close to a noncommutative invariant called Selmer K-theory, which is defined at the level of categories. Consequently,
Clausen, Dustin, Mathew, Akhil
core +1 more source
Topological Complexity of Motion Planning [PDF]
Discrete & Computational Geometry, 2001 . In this paper we study a notion of topological complexity TC(X) for the motion planning problem. TC(X) is a number which measures discontinuity of the process of motion planning in the configuration space X . More precisely, TC(X) is the minimal number
M. Farber
semanticscholar +1 more source
On the homotopy invariance of configuration spaces
, 2004 For a closed PL manifold M, we consider the configuration space F(M,k) of ordered k-tuples of distinct points in M. We show that a suitable iterated suspension of F(M,k) is a homotopy invariant of M.
Hirschhorn +4 more
core +1 more source
Common subbundles and intersections of divisors
, 2002 Let V_0 and V_1 be complex vector bundles over a space X. We use the theory of divisors on formal groups to give obstructions in generalised cohomology that vanish when V_0 and V_1 can be embedded in a bundle U in such a way that V_0\cap V_1 has ...
Crabb +6 more
core +1 more source
Topological invariants and a gauge theory of the super-Poincaré algebra in three dimensions
Nuclear Physics B, 1989 Abstract Various aspects of superspace topology and N = 1 supersymmetry in 2 + 1 dimensions are explored. Non-minimal super Yang-Mills theory is used to construct a gauge theory of the N = 1 super-Poincare algebra. A topological super Yang-Mills theory is given and used to compute elements of the cohomology classes of super-monopole moduli space.
openaire +1 more source
A lower bound to the action dimension of a group
, 2004 The action dimension of a discrete group G, actdim(G), is defined to be the smallest integer m such that G admits a properly discontinuous action on a contractible m-manifold. If no such m exists, we define actdim(G) = infty.
Artin +5 more
core +1 more source
Homology surgery and invariants of 3-manifolds
, 2000 We introduce a homology surgery problem in dimension 3 which has the property that the vanishing of its algebraic obstruction leads to a canonical class of \pi-algebraically-split links in 3-manifolds with fundamental group \pi .
Freedman +5 more
core +2 more sources
On function field Mordell-Lang and Manin-Mumford [PDF]
, 2015 We present a reduction of the function field Mordell-Lang conjecture to the function field Manin-Mumford conjecture, in all characteristics, via model theory, but avoiding recourse to the dichotomy theorems for (generalized) Zariski structures. In this
Benoist, Franck +2 more
core +3 more sources