Results 1 to 10 of about 100,657 (228)

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
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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

Overview of (pro-)Lie group structures on Hopf algebra character groups

, 2017
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, A Murua, A Murua, A Murua, Andreas Kriegl, C Brouder, Dominique Manchon, E Hairer, Fernando Casas, G Bogfjellmo, G Bogfjellmo, H Alzaareer, H Glöckner, H Glöckner, H Glöckner, H Glöckner, H Yamabe, Hans Heinrich Keller, Helge Glöckner, Helge Glöckner, Helmut H. Schaefer, HZ Munthe-Kaas, HZ Munthe-Kaas, JC Butcher, JC Butcher, JW Milnor, K Ebrahimi-Fard, K Ebrahimi-Fard, K Ebrahimi-Fard, K Floret, K-H Neeb, Karl-Goswin Grosse-Erdmann, KH Hofmann, KH Hofmann, P Chartier, P Chartier, P Chartier, R Arens, R Dahmen, R Dahmen, Richard S. Hamilton, S Majid, W Bertram, Walter Michaelis, WD Suijlekom van, WD Suijlekom van, William C. Waterhouse, WS Gray   +47 more
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Causal Cones, Cone Preserving Transformations and Causal Structure in Special and General Theory of Relativity

, 2012
We present a short review of geometric and algebraic approach to causal cones and describe cone preserving transformations and their relationship with causal structure related to special and general theory of relativity.
Janardhan, Sujatha, Saraykar, R. V.
core   +1 more source

M-Theory with Framed Corners and Tertiary Index Invariants [PDF]

, 2014
The study of the partition function in M-theory involves the use of index theory on a twelve-dimensional bounding manifold. In eleven dimensions, viewed as a boundary, this is given by secondary index invariants such as the Atiyah-Patodi-Singer eta ...
Sati, Hisham
core   +3 more sources

Extended quantum field theory, index theory and the parity anomaly

, 2018
We use techniques from functorial quantum field theory to provide a geometric description of the parity anomaly in fermionic systems coupled to background gauge and gravitational fields on odd-dimensional spacetimes. We give an explicit construction of a
Müller, Lukas, Szabo, Richard J.
core   +1 more source

The Theory of Quasiconformal Mappings in Higher Dimensions, I [PDF]

, 2013
We present a survey of the many and various elements of the modern higher-dimensional theory of quasiconformal mappings and their wide and varied application. It is unified (and limited) by the theme of the author's interests.
Gaven J. Martin, Gaven J. Martin
core  

Topological Hochschild homology of Thom spectra and the free loop space

, 2008
We describe the topological Hochschild homology of ring spectra that arise as Thom spectra for loop maps f: X->BF, where BF denotes the classifying space for stable spherical fibrations.
Andrew J Blumberg, Baker, Bousfield, Bousfield, Christian Schlichtkrull, Cohen, Elmendorf, Hirschhorn, Kriz, Lewis, Mac Lane, Madsen, Mahowald, Mahowald, May, May, May, May, Ralph L Cohen, Schlichtkrull, Stong, Thomason, Waldhausen, Whitehead   +23 more
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Spin, statistics, orientations, unitarity

, 2016
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

Diagram spaces, diagram spectra, and spectra of units

, 2012
This article compares the infinite loop spaces associated to symmetric spectra, orthogonal spectra, and EKMM S-modules. Each of these categories of structured spectra has a corresponding category of structured spaces that receives the infinite loop space
Elmendorf, Hovey, John A Lind, Lewis, Mandell, May, May, May, Schlichtkrull, Shulman   +9 more
core   +1 more source