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 theories^{} 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 categories^{}, functors^{} and natural transformations (TCFN), nonAbelian^{} algebraic topology (NAAT), and higher dimensional algebra^{} (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 Topologypreprint.

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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/nonabat.htmlA first textbook on “NonAbelian 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/BBG158NAC0STQG.pdfNonAbelian QAT

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NAATList: http://www.informatics.bangor.ac.uk/public/mathematics/research/preprints/07/cathom07.htmlCategory Theory^{}, Homotopy Theory and AT Publications

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SPE: http://plato.stanford.edu/entries/categorytheory/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/cgibin/setlink?base=preprint&categ=ext&id=ext2004125CERN Preprints1
 4 CERN Articles and Preprint Archives: http://doc.cern.ch/archive/electronic/other/ext/ext2004125/Baianu_okCERNMyPreprintsJuly9k04.docCERN Preprints2
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Title  quantum algebraic topology topics 
Canonical name  QuantumAlgebraicTopologyTopics 
Date of creation  20130322 18:13:31 
Last modified on  20130322 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 5502 
Classification  msc 81R50 
Classification  msc 81R15 
Synonym  nonAbelian Quantum Algebraic Topology 
Synonym  NAQAT 
Synonym  Quantum Operator Algebras^{} 
Synonym  Supersymmetry and symmetry breaking 
Synonym  Algebraic Topology Foundations of Quantum theories 
Related topic  CAlgebra3 
Related topic  TopicEntryOnTheAlgebraicFoundationsOfQuantumAlgebraicTopology 
Related topic  CategoryOfQuantumAutomata 
Related topic  TheoremOnCWComplexApproximationOfQuantumStateSpacesInQAT 