Results 11 to 20 of about 17,484 (160)

Noncommutative topology and the world's simplest index theorem. [PDF]

Proc Natl Acad Sci U S A, 2010
In this article we outline an approach to index theory on the basis of methods of noncommutative topology. We start with an explicit index theorem for second-order differential operators on 3-manifolds that are Fredholm but not elliptic. This low-brow index formula is expressed in terms of winding numbers. We then proceed to show how it is derived as a
van Erp E.
europepmc   +7 more sources

Noncommutative Topological Theories of Gravity [PDF]

Physical Review D, 2002
The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the
A. Ashtekar, A. Connes, A. Connes, A.H. Chamseddine, A.H. Chamseddine, A.H. Chamseddine, A.H. Chamseddine, A.H. Chamseddine, A.P. Polychronakos, B. Jurco, B. Jurco, B. Jurco, C. Ramírez, C.K. Zachos, D. Perrot, E. Witten, E. Witten, F. Ardalan, F. Ardalan, G.W. Gibbons, G.W. Gibbons, G.W. Gibbons, H. García-Compeán, H. García-Compeán, H. García-Compeán, H. Nishino, H. Snyder, J. Madore, J. Wess, J.A. Nieto, J.M. Gracia-Bondia, J.W. Moffat, J.W. Moffat, L. Alvarez-Gaumé, L. Smolin, M. Bañados, M. Sabido, M.A. Cardella, M.R. Douglas, N. Nekrasov, N. Seiberg, N.H. Kuiper, O. Obregón, P. Kraus, P.B. Kronheimer, R. Delbourgo, R. Schoen, R.J. Szabo, R.S. Palais, S. Cacciatori, S. Cacciatori, S. Deser, S.W. Hawking, T. Eguchi, T. Eguchi, T. Eguchi, T. Eguchi, V.P. Nair, W. Kalau, X. Calmet   +59 more
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From factorizations of noncommutative polynomials to combinatorial topology [PDF]

Open Mathematics, 2010
Abstract This is an extended version of a talk given by the author at the conference “Algebra and Topology in Interaction” on the occasion of the 70th Anniversary of D.B. Fuchs at UC Davis in September 2009. It is a brief survey of an area originated around 1995 by I. Gelfand and the speaker.
Retakh Vladimir
doaj   +6 more sources

Noncommutative topology and Jordan operator algebras [PDF]

Mathematische Nachrichten, 2018
Jordan operator algebras are norm-closed spaces of operators on a Hilbert space with $a^2 \in A$ for all $a \in A$. We study noncommutative topology, noncommutative peak sets and peak interpolation, and hereditary subalgebras of Jordan operator algebras.
Blecher, David P., Neal, Matthew
core   +2 more sources

Noncommutative localization in topology [PDF]

, 2002
A survey of the applications of the noncommutative Cohn localization of rings to the topology of manifolds with infinite fundamental group, with particular emphasis on the algebraic K- and L-theory of generalized free products.Comment: 20 pages, LATEX ...
Ranicki, Andrew
core   +9 more sources

An essay on noncommutative topology

Topology and its Applications, 1989
By ``noncommutative topology'' the authors mean \textit{C. J. Mulvey}'s theory of quantales [Rend. Circ. Mat. Palermo., II. Ser., Suppl. 12, 99- 104 (1986; Zbl 0633.46065)]. This was originally introduced in the hope of providing a ``Gelfand-type'' representation for noncommutative \(C^*\)-algebras.
Borceux, Francis, van Den Bossche, Gilberte   +1 more
openaire   +4 more sources

A noncommutative view on topology and order

Journal of Geometry and Physics, 2009
31 pages.
Fabien Besnard
openaire   +5 more sources

Structure Sheaves and Noncommutative Topologies [PDF]

Journal of Algebra, 1997
The main purpose of this paper is to construct structure sheaves over noncommutative topologies associated to an arbitrary left noetherian ring. In the first section the authors quickly recollect some of the main notions, constructions and results, which will be needed throughout.
Garcia, M., Marquez Hernandez, C.M., Verschoren, Alain   +2 more
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Noncommutative topological half-flat gravity [PDF]

General Relativity and Gravitation, 2005
12+1 pages, revtex4, no ...
García-Compeán, H., Obregón, O., Ramírez, C.   +2 more
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Noncommuting Momenta of Topological Solitons [PDF]

Physical Review Letters, 2014
5 +1 pages, including Supplemental Material; v4: new references added, published ...
Watanabe, Haruki, Murayama, Hitoshi
openaire   +3 more sources