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020 _a9783642244407
_9978-3-642-24440-7
024 7 _a10.1007/978-3-642-24440-7
_2doi
050 4 _aQC1-75
072 7 _aPH
_2bicssc
072 7 _aSCI055000
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072 7 _aPH
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082 0 4 _a530
_223
100 1 _aCarfora, Mauro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aQuantum Triangulations
_h[electronic resource] :
_bModuli Spaces, Strings, and Quantum Computing /
_cby Mauro Carfora, Annalisa Marzuoli.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXVII, 284 p. 90 illus., 10 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v845
505 0 _aTriangulated Surfaces and Polyhedral Structures -- Singular Euclidean Structures an Riemann Surfaces -- Polyhedral Surfaces and the Weil-Petersson Form -- The Quantum Geometry of Polyhedral Surfaces -- State Sum Models and Observables -- Combinatorial Framework for Topological Quantum Computing -- A Capsule of Moduli Space Theory -- Spectral Theory on Polyhedral Surfaces -- Index.
520 _aResearch on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment.   The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.   This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.  .
650 0 _aPhysics.
650 0 _aQuantum theory.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aPhysics, general.
_0http://scigraph.springernature.com/things/product-market-codes/P00002
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aMathematical Applications in the Physical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M13120
700 1 _aMarzuoli, Annalisa.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642244391
776 0 8 _iPrinted edition:
_z9783642244414
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v845
856 4 0 _uhttps://doi.org/10.1007/978-3-642-24440-7
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c12194
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