Results 11 to 20 of about 62,593 (137)

Homotopy Batalin-Vilkovisky algebras [PDF]

, 2010
This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties.
Galvez-Carrillo, Imma, Tonks, Andy, Vallette, Bruno   +2 more
core   +10 more sources

Algebraic Quantum Theory on Manifolds: A Haag-Kastler Setting for Quantum Geometry [PDF]

, 2000
Motivated by the invariance of current representations of quantum gravity under diffeomorphisms much more general than isometries, the Haag-Kastler setting is extended to manifolds without metric background structure.
Ashtekar A, Bannier U, Bannier U, Connes A, Glimm J, Haag R, Maldacena J M, Martin Rainer, Osterwalder K, Osterwalder K, Rainer M, Rainer M, Rainer M, Rainer M, Rainer M, Rehren K-H, Witten E, Wollenberg M   +17 more
core   +5 more sources

The homotopy theory of strong homotopy algebras and bialgebras [PDF]

, 2010
Lada introduced strong homotopy algebras to describe the structures on a deformation retract of an algebra in topological spaces. However, there is no satisfactory general definition of a morphism of strong homotopy (s.h.) algebras.
Pridham, J. P.
core   +4 more sources

A noncommutative model for higher twisted K-Theory [PDF]

, 2015
We develop a operator algebraic model for twisted $K$-theory, which includes the most general twistings as a generalized cohomology theory (i.e. all those classified by the unit spectrum $bgl_1(KU)$).
Pennig, Ulrich
core   +2 more sources

Structure of Topological Lattice Field Theories in Three Dimensions [PDF]

, 1993
We construct and classify topological lattice field theories in three dimensions. After defining a general class of local lattice field theories, we impose invariance under arbitrary topology-preserving deformations of the underlying lattice, which are ...
Chung, Stephen-wei, Fukuma, Masafumi, Shapere, Alfred   +2 more
core   +2 more sources

Stabilization of the Witt group [PDF]

, 2005
Using an idea due to R.Thomason, we define a "homology theory" on the category of rings which satisfies excision, exactness, homotopy (in the algebraic sense) and periodicity of order 4. For regular noetherian rings, we find P.
Karoubi, Max
core   +3 more sources

Topological K-theory of affine Hecke algebras [PDF]

, 2018
Let H(R,q) be an affine Hecke algebra with a positive parameter function q. We are interested in the topological K-theory of H(R,q), that is, the K-theory of its C*-completion C*_r (R,q).
Solleveld, Maarten
core   +2 more sources

Algebraic description of spacetime foam [PDF]

, 2001
A mathematical formalism for treating spacetime topology as a quantum observable is provided. We describe spacetime foam entirely in algebraic terms.
Aleksandrov P S, Baehr H C, Baehr H C, Baugh J, Breslav R B, Breslav R B, Breslav R B, Butterfield J, Butterfield J, Crane L Clock, Eilenberg S, Einstein A, Einstein A, Einstein A, Feynman R P, Finkelstein D, Finkelstein D, Heisenberg W, Heisenberg W, Isham C J, Isham C J, Landi G, Landi G, Mallios A, Mallios A, Mallios A, Mallios A, Mulvey C, Mulvey C, Penrose R, Raptis I, Raptis I, Raptis I, Regge T, Rideout D P, Robb A A, Rota G-C, Sorkin R D, Sorkin R D, Sorkin R D, Sorkin R D, Sorkin R D, Stanley R P, Torretti R, Wheeler J A, Zapatrin R R, Zapatrin R R, Zapatrin R R, Zapatrin R R, Zapatrin R R, Zeeman E C   +50 more
core   +4 more sources

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir, Dahmen, Rafael, Schmeding, Alexander   +2 more
core   +3 more sources

Topological Quivers

, 2005
Topological quivers are generalizations of directed graphs in which the sets of vertices and edges are locally compact Hausdorff spaces. Associated to such a topological quiver Q is a C*-correspondence, and from this correspondence one may construct a ...
Muhly, Paul S., Tomforde, Mark
core   +2 more sources