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[parent] quantum algebraic topology topics (Topic)

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

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), non-Abelian algebraic topology (NAAT), and higher dimensional algebra (HDA).

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

QAT Topics : Online Resources

Bibliography

1
Abstracts1: Springer link
2
Abstracts2: Springer link
3
CERN Preprint Archives: CERN Preprints-1
4
CERN Articles and Preprint Archives: CERN Preprints-2

Additional items

  1. QAT1
  2. QAT2
  3. A3



"quantum algebraic topology topics" is owned by bci1.
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See Also: compact quantum groupoids related to C*-algebras, topic on the algebraic foundations of quantum algebraic topology, category of quantum automata

Other names:  non-Abelian Quantum Algebraic Topology, NAQAT, Quantum Operator Algebras, Supersymmetry and symmetry breaking, Algebraic Topology Foundations of Quantum theories
Keywords:  algebraic topology foundations of quantum theories, non-Abelian algebraic theory, supergravity /supersymmetry theories (quantum gravity)

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Cross-references: axiomatic, references, higher dimensional algebra, non-Abelian, natural transformations, functors, categories, theory, noncommutative geometry, fields, connections, quantum gravity, quantum field theories, application, QAT, areas, topology, algebraic
There are 4 references to this entry.

This is version 59 of quantum algebraic topology topics, born on 2008-07-17, modified 2009-05-19.
Object id is 10811, canonical name is QuantumAlgebraicTopology.
Accessed 2235 times total.

Classification:
AMS MSC: 81R15 (Quantum theory :: Groups and algebras in quantum theory :: Operator algebra methods)
 81R50 (Quantum theory :: Groups and algebras in quantum theory :: Quantum groups and related algebraic methods)
 55-02 (Algebraic topology :: Research exposition )
 81Q60 (Quantum theory :: General mathematical topics and methods in quantum theory :: Supersymmetric quantum mechanics)
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