Results 1 to 10 of about 90,434 (188)
Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings,
Positselski, Leonid
core +3 more sources
Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups [PDF]
We study in this paper some connections between the Fraisse theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures.Comment: 73 pages, LaTeX 2e, to appear in ...
Kechris, A. S. +2 more
core +2 more sources
Spin, statistics, orientations, unitarity
A topological quantum field theory is Hermitian if it is both oriented and complex-valued, and orientation-reversal agrees with complex-conjugation. A field theory satisfies spin-statistics if it is both spin and super, and $360^\circ$-rotation of the ...
Johnson-Freyd, Theo
core +1 more source
Modal Logics of Topological Relations [PDF]
Logical formalisms for reasoning about relations between spatial regions play a fundamental role in geographical information systems, spatial and constraint databases, and spatial reasoning in AI.
A. Artale and E. Franconi +34 more
core +2 more sources
Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus [PDF]
It was recently suggested by A. Kapustin that turning on a $B$-field, and allowing some discrepancy between the left and and right-moving complex structures, must induce an identification of B-branes with holomorphic line bundles on a non-commutative ...
A. Kapustin +15 more
core +1 more source
Beyond Topologies, Part I [PDF]
Arguments on the need, and usefulness, of going beyond the usual Hausdorff-Kuratowski-Bourbaki, or in short, HKB concept of topology are presented. The motivation comes, among others, from well known {\it topological type processes}, or in short TTP-s ...
Rosinger, Elemer E +1 more
core
Overview of (pro-)Lie group structures on Hopf algebra character groups
Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum field theory, and numerical analysis.
A Connes +47 more
core +1 more source
Reparametrizations of Continuous Paths [PDF]
A reparametrization (of a continuous path) is given by a surjective weakly increasing self-map of the unit interval. We show that the monoid of reparametrizations (with respect to compositions) can be understood via ``stop-maps'' that allow to ...
Fahrenberg, Ulrich, Raussen, Martin
core +1 more source
State sum construction of two-dimensional open-closed Topological Quantum Field Theories
We present a state sum construction of two-dimensional extended Topological Quantum Field Theories (TQFTs), so-called open-closed TQFTs, which generalizes the state sum of Fukuma--Hosono--Kawai from triangulations of conventional two-dimensional ...
AARON D. LAUDA +7 more
core +1 more source
A Prehistory of n-Categorical Physics
This paper traces the growing role of categories and n-categories in physics, starting with groups and their role in relativity, and leading up to more sophisticated concepts which manifest themselves in Feynman diagrams, spin networks, string theory ...
Baez, John C., Lauda, Aaron
core +2 more sources

