LEADER 00724nam0-22002771i-450- 001 990002207710403321 005 20021010 035 $a000220771 035 $aFED01000220771 035 $a(Aleph)000220771FED01 035 $a000220771 100 $a20021010d--------km-y0itay50------ba 101 0 $aita 200 1 $a<>chimica moderna$esue dottrine ed ipotesi 210 $aVerona$cDrucher e Tedeschi$d1878. 215 $a2 v. leg. in 1 22 cm 676 $a 700 1$aMonselise,$bG.$0361613 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002207710403321 952 $a80 XXVII 15$b2394/95$fFFABC 959 $aFFABC 996 $aChimica moderna$9395635 997 $aUNINA DB $aING01 LEADER 03651nam 2200613Ia 450 001 9910132669603321 005 20200520144314.0 010 $a9783642244407 010 $a3642244408 024 7 $a10.1007/978-3-642-24440-7 035 $a(CKB)3390000000021734 035 $a(SSID)ssj0000610678 035 $a(PQKBManifestationID)11381079 035 $a(PQKBTitleCode)TC0000610678 035 $a(PQKBWorkID)10639438 035 $a(PQKB)10951114 035 $a(DE-He213)978-3-642-24440-7 035 $a(MiAaPQ)EBC3070486 035 $a(PPN)159085071 035 $a(EXLCZ)993390000000021734 100 $a20111021d2012 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum triangulations $emoduli spaces, strings, and quantum computing /$fMauro Carfora, Annalisa Marzuoli 205 $a1st ed. 2012. 210 $aBerlin $cSpringer$dc2012 215 $a1 online resource (XVII, 284 p. 90 illus., 10 illus. in color.) 225 0$aLecture notes in physics ;$v845 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783642244391 311 08$a3642244394 320 $aIncludes bibliographical references and index. 327 $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. 330 $aResearch on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment.   The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.   This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.  . 410 0$aLecture Notes in Physics,$x0075-8450 ;$v845 606 $aTriangulating manifolds 606 $aTriangulating manifolds$vCase studies 606 $aMathematical physics 615 0$aTriangulating manifolds. 615 0$aTriangulating manifolds 615 0$aMathematical physics. 676 $a514.34 700 $aCarfora$b M$g(Mauro)$052579 701 $aMarzuoli$b A$g(Annalisa)$061469 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910132669603321 996 $aQuantum Triangulations$9855615 997 $aUNINA