quantum algebraic topology topics


This is a contributed topics list on quantum algebraic topology. Online resources are also included for selected areas of QAT.

1 Quantum Algebraic Topology (QAT)

Quantum algebraic topology can be described as the area of mathematical physics and physical mathematics concerned with the application of algebraic topology concepts, procedures and results to quantum theoriesPlanetmathPlanetmath such as quantum field theories (QFT, AQFT, locally covariant relativististic quantum theories and quantum gravity (QG)). QAT has close connections to several other fundamental fields of mathematics, such as: noncommutative geometry (NCG), the theory of categoriesMathworldPlanetmath, functorsMathworldPlanetmath and natural transformations (TCFN), non-AbelianMathworldPlanetmathPlanetmath algebraic topology (NAAT), and higher dimensional algebraPlanetmathPlanetmath (HDA).

Related references are available at the websites and documents in the following topics list.

1.1 QAT Topics : Online Resources

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    QAT: http://planetmath.org/?op=getobj&from=lec&id=68Quantum Algebraic Topology-preprint.

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    Axiomatic quantum field theory (AQFT)

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    AT: http://www.bangor.ac.uk/ mas010/publicfull.htmAlgebraic Topology papers

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    NAAT: http://www.bangor.ac.uk/ mas010/nonab-a-t.htmlA first textbook on “Non-Abelian Algebraic Topology”

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    QA: Quantum automata and quantum supercomputers (http://planetmath.org/QuantumAutomataAndQuantumComputation2)

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    NAQAT: http://www.bangor.ac.uk/ mas010/pdffiles/BBG-158-NAC0STQG.pdfNon-Abelian QAT

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    NAAT-List: http://www.informatics.bangor.ac.uk/public/mathematics/research/preprints/07/cathom07.htmlCategory TheoryMathworldPlanetmathPlanetmathPlanetmathPlanetmath, Homotopy Theory and AT Publications

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    SPE: http://plato.stanford.edu/entries/category-theory/Stanford Plato: Category Theory and Applications

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    Abc

References

  • 1 Abstracts1: http://www.springerlink.com/content/t08637r333403846/Springer link
  • 2 Abstracts2: http://www.springerlink.com/content/92r13230n3381746/Springer link
  • 3 CERN Preprint Archives: http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=ext&id=ext-2004-125CERN Preprints-1
  • 4 CERN Articles and Preprint Archives: http://doc.cern.ch/archive/electronic/other/ext/ext-2004-125/Baianu_okCERNMyPreprintsJuly9k04.docCERN Preprints-2

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Title quantum algebraic topology topics
Canonical name QuantumAlgebraicTopologyTopics
Date of creation 2013-03-22 18:13:31
Last modified on 2013-03-22 18:13:31
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 63
Author bci1 (20947)
Entry type Topic
Classification msc 81Q60
Classification msc 55-02
Classification msc 81R50
Classification msc 81R15
Synonym non-Abelian Quantum Algebraic Topology
Synonym NAQAT
Synonym Quantum Operator AlgebrasPlanetmathPlanetmath
Synonym Supersymmetry and symmetry breaking
Synonym Algebraic Topology Foundations of Quantum theories
Related topic CAlgebra3
Related topic TopicEntryOnTheAlgebraicFoundationsOfQuantumAlgebraicTopology
Related topic CategoryOfQuantumAutomata
Related topic TheoremOnCWComplexApproximationOfQuantumStateSpacesInQAT