Results 31 to 40 of about 409,094 (131)

I-adic towers in topology

, 2004
A large variety of cohomology theories is derived from complex cobordism MU^*(-) by localizing with respect to certain elements or by killing regular sequences in MU_*.
Baker, Baker, Baker, Boardman, Boardman, Eilenberg, Elmendorf, Goerss, Greenlees, Hovey, Hovey, Husemoller, Jensen, Mac Lane, Mac Lane, Matsumura, May, Ravenel, Ravenel, Ravenel, Samuel Wüthrich, Weibel   +21 more
core   +4 more sources

Dyer-Lashof-Cohen operations in Hochschild cohomology

, 2005
We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra ...
Tourtchine, Victor
core   +4 more sources

Topological Aspects of Gauge Theories [PDF]

arXiv, 2005
To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.
arxiv  

Instantons: topological aspects [PDF]

Enclyclopedia of Mathematical Physics vol. 2 (2006) 44-50, 2005
Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv  

Implications of the Ganea Condition

, 2004
Suppose the spaces X and X cross A have the same Lusternik-Schnirelmann category: cat(X cross A)= cat(X). Then there is a strict inequality cat(X cross (A halfsmash B)) < cat (X) + cat(A halfsmash B) for every space B, provided the connectivity of A is ...
Berstein, Cornea, Donald Stanley, Ganea, Ganea, Jeffrey Strom, Mather, Norio Iwase, Stanley, Steenrod, Švarc   +10 more
core   +3 more sources

The Stiefel--Whitney theory of topological insulators [PDF]

arXiv, 2016
We study the topological band theory of time reversal invariant topological insulators and interpret the topological $\mathbb{Z}_2$ invariant as an obstruction in terms of Stiefel--Whitney classes. The band structure of a topological insulator defines a Pfaffian line bundle over the momentum space, whose structure group can be reduced to $\mathbb{Z}_2$.
arxiv  

Geometric Knot Spaces and Polygonal Isotopy

, 1999
The space of n-sided polygons embedded in three-space consists of a smooth manifold in which points correspond to piecewise linear or ``geometric'' knots, while paths correspond to isotopies which preserve the geometric structure of these knots.
Calvo, Jorge Alberto
core   +1 more source

Topologization of electron liquids with Chern-Simons theory and quantum computation [PDF]

arXiv, 2006
We discuss a nexus among quantum topology, quantum physics and quantum computing.
arxiv  

3-manifold invariants and periodicity of homology spheres

, 2001
We show how the periodicity of a homology sphere is reflected in the Reshetikhin-Turaev-Witten invariants of the manifold. These yield a criterion for the periodicity of a homology sphere.Comment: Published by Algebraic and Geometric Topology at http://
Boileau, Bredon, Chbili, Chen, Gilmer, Goldsmith, Hirzebruch, Joanna Kania-Bartoszynska, Jozef H Przytycki, Kauffman, Kauffman, Lawrence, Morgan, Murakami, Murasugi, Patrick M Gilmer, Poincaré, Rolfsen, Sakuma, Seifert, Weyl, Witten   +21 more
core   +2 more sources

New Techniques for Computing Geometric Index

, 2017
We introduce \textcolor{red}{general} new techniques for computing the geometric index of a link $L$ in the interior of a solid torus $T$. These techniques simplify and unify previous ad hoc methods used to compute the geometric index in specific ...
Andrist, Kathryn B., Garity, Dennis J., Repovš, Dušan D., Wright, David G.   +3 more
core   +1 more source