Results 21 to 30 of about 409,094 (131)
Topological Hochschild cohomology and generalized Morita equivalence [PDF]
, 2004 We explore two constructions in homotopy category with algebraic precursors in the theory of noncommutative rings and homological algebra, namely the Hochschild cohomology of ring spectra and Morita theory.
Andrew Baker +2 more
core +3 more sources
Geodesic knots in cusped hyperbolic 3-manifolds
, 2009 We consider the existence of simple closed geodesics or "geodesic knots" in finite volume orientable hyperbolic 3-manifolds. Previous results show that at least one geodesic knot always exists [Bull. London Math. Soc.
Chinburg +3 more
core +1 more source
Hidden geometries in networks arising from cooperative self-assembly [PDF]
, 2017 Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture.
Andjelkovic, Miroslav +2 more
core +4 more sources
Nullification functors and the homotopy type of the classifying space for proper bundles [PDF]
, 2005 Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG.
Baum +19 more
core +4 more sources
The Gromov width of complex Grassmannians [PDF]
, 2005 We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
core +3 more sources
Minimal surface representations of virtual knots and links
, 2004 Kuperberg [Algebr. Geom. Topol. 3 (2003) 587-591] has shown that a virtual knot corresponds (up to generalized Reidemeister moves) to a unique embedding in a thichened surface of minimal genus.
Bredon +9 more
core +2 more sources
The concordance genus of knots
, 2004 In knot concordance three genera arise naturally, g(K), g_4(K), and g_c(K): these are the classical genus, the 4-ball genus, and the concordance genus, defined to be the minimum genus among all knots concordant to K. Clearly 0
Artin +26 more
core +3 more sources
, 2004 Cofiltered diagrams of spectra, also called pro-spectra, have arisen in diverse areas, and to date have been treated in an ad hoc manner. The purpose of this paper is to systematically develop a homotopy theory of pro-spectra and to study its relation to
Ando +17 more
core +4 more sources
Finitary Topos for Locally Finite, Causal and Quantal Vacuum Einstein Gravity
, 2005 Previous work on applications of Abstract Differential Geometry (ADG) to discrete Lorentzian quantum gravity is brought to its categorical climax by organizing the curved finitary spacetime sheaves of quantum causal sets involved therein, on which a ...
Raptis, Ioannis
core +4 more sources
On realizing diagrams of Pi-algebras
, 2006 Given a diagram of Pi-algebras (graded groups equipped with an action of the primary homotopy operations), we ask whether it can be realized as the homotopy groups of a diagram of spaces.
Adámek +23 more
core +2 more sources