Contributions Ã l'Etude du Vertex Topologique en ThÃ©orie ... - Toubkal

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BIBLIOGRAPHIE[165] Nathan Berkovits, Edward Witten, Conformal Supergravity in Twistor-StringTheory, JHEP 0408 (2004) 009 arXiv :hep-th/0406051.[166] Edward Witten, Perturbative Gauge Theory As A String Theory In Twistor Space,Commun.Math.Phys. 252 (2004) 189-258, arXiv :hep-th/0312171.[167] Mina Aganagic, Hirosi Ooguri, Natalia Saulina, Cumrun Vafa Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings, Nucl.Phys. B715(2005) 304-348, hep-th/0411280.[168] Cumrun Vafa, Two Dimensional Yang-Mills, Black Holes and Topological Strings,hep-th/0406058.[169] H. Morton, S. Lukac, The HOMFLY polynomial of the decorated Hopf link, Journalof Knot Theory and Its Ramifications 12 (2003) 395, math.GT/0108011.[170] M. Aganagic, M. Marino and C. Vafa, All loop topological string amplitudes fromChern-Simons theory, hep-th/0206164.[171] M. Marino and C. Vafa, Framed knots at large N, hep-th/0108064.[172] Seungjoon Hyun and Sang-Heon Yi, Non-compact Topological Branes on Conifold,arXiv :hep-th/0609037v2.[173] C. Vafa, Superstrings and topological strings at large N, J. Math. Phys. 42 (2001)2798-2817, hep-th/0008142.[174] Dagan Karp, Chiu-Chu Melissa Lui and Marcos Marino, The Local Gromov-WittenInvaraints of Configurations Of Rational Curves, arXiv :math/0506488v2.[175] I. G. Macdonald, Symmetric functions and Hall polynomials, Oxford MathematicalMonographs, 1979.[176] S. Gukov, A. S. Schwarz and C. Vafa, Khovanov-Rozansky homology and topologicalstrings, Lett. Math. Phys. 74, 53 (2005), arXiv :hep-th/0412243.[177] Masato Taki, Refined Topological Vertex and Instanton Counting,JHEP0803 :048,2008 arXiv :hep-th/0710.1776.[178] Masato Taki, Flop Invariance of Refined Topological Vertex and Link Homologies,arXiv :0805.0336v1.[179] A. Iqbal, C. Kozcaz and K. Shabbir, Refined Topological Vertex, Cylindric Partitionsand the U(1) Adjoint Theory, arXiv :0803.22600.282
BIBLIOGRAPHIE[180] H. Awata and H. Kanno, Refined BPS state counting from Nekrasov’s formula andMacdonald functions,” arXiv :0805.0191.[181] G. E. Andrews, Generalized Frobenius partitions, Memoirs of the AMS (301) 1984.[182] Andrews G E, The Theory of Partitions Encyclopedia of Mathematics and its Applications,Vol 2 (Reading : Addison-Wesley), 1976.[183] A. Okounkov, N. Reshetikhin, Correlation functions of Schur process with applicationto local geometry of a random 3-dimensional Young diagram, math.CO/0107056.[184] Ville Mustonen and R. Rajesh, Numerical Estimation of the Asymptotic Behaviourof Solid Partitions of an Integer, cond-mat/0303607v1.[185] O. Foda, M Wheeler, BKP plane partitions, Journal-ref : JHEP 0701 (2007) 075,math-ph/0612018.[186] A. Yu. Orlov, Hypergeometric functions related to Schur Q-polynomials and BKPequation, math-ph/0302011.[187] Mirjana Vuleti, A Generalization of macmahon formula, math.Co/0707.0532.[188] Mirjana Vuleti, Shifted schur process and asymptotics of large random strict planepartitions math-ph/0702068.[189] Lalla Btissam Drissi, Houda Jehjouh, El Hassan Saidi, Refining the Shifted TopologicalVertex, J.Math.Phys.50 :013509,2009, arXiv : 0812.0513.[190] M. Vuletić, Shifted schur process and asymptotics of large random strict plane partitionsmath-ph/0702068.[191] Benjamin Young, with an appendix by Jim Bryan, Generating functions forcolored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds,arXiv :0802.3948.[192] Atkin A O L, Bratley P, Macdonald I G andMcKay J K S, Some computations form-dimensional partitions, Proc. Cambridge Phil. Soc. 63 1097, 1967.[193] Sagan, Bruce E, The Symmetric Group Representations Combinatorial Algorithmsand Symmetric Functions Brooks(Cole Publishing Company. 1991).[194] Stanley R P, Enumerative Combinatorics, Vol. 2 (Cambridge : Cambridge UniversityPress), 199.[195] MacMahon, P. A, Partitions of numbers whose graphs possess symmetry, Trans. CambridgePhil. Soc. 17, 149-170, (1898).283
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UNIVERSITÉ MOHAMMED V - AGDALFACUL
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TABLE DES MATIÈRES3.3 Invariants t
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TABLE DES MATIÈRES8.2 Fonctions de
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Avant ProposCe travail à été eff
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Lab/UFR PHEUne thèse représente u
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10Lab/UFR PHE
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Contributions à l’Etude du Verte
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2.1 Généralités sur les variét
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2.2 Conifoldavec (y 1 , y 2 ) ≠ (
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2.2 Conifoldoù µ est un nombre co
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2.3 Variétés de CY toriquesFig. 2
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2.3 Variétés de CY toriquesEn gé
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2.3 Variétés de CY toriquessur L
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2.3 Variétés de CY toriquesz3z1z2
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2.3 Variétés de CY toriquesFig. 2
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du vertex U 3r α = |z 1 | 2 − |z
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3.1 Théorie des cordes topologique
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3.2 Dualité corde ouverte / corde
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3.3 Invariants topologiquesNotons a
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3.3 Invariants topologiquesoù F es
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3.3 Invariants topologiquesDans le
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3.3 Invariants topologiquesL’acti
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3.4 Modèle B et espace twistorielI
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H. Jehjouhprojectif complexe -PT d
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wÜÛ ¼¢~ x wÖÛ ¼Œ x ‘|16 |
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4.1 Variétés de CY toriques et cr
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Cela a fait apparaître d’autres
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4.2 Fonction de partition perpendic
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4.3 Version raffinée de la fonctio
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4.3 Version raffinée de la fonctio
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4.4 Modèle du cristal fondu et con
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4.4 Modèle du cristal fondu et con
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4.5 Invariants topologiques dans le
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4.6 Contribution : Generalized MacM
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L.B. Drissi et al. / Nuclear Physic
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(Γ + (z) = exp −i ∑ )1n z−n
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(∏ ∞(Υ − (q) = Ω − qk ))k
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5.1 Formalisme du Vertex topologiqu
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5.3 Vertex Topologique et Théorie
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H. JehjouhL’amplitude des produit
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176H. Jehjouh
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308 L.B. Drissi et al. / Nuclear Ph
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Chapitre 6Vertex Topologique Raffin
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5.1 Raffinement du vertex topologiq
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5.2 Fonctions de partitions du vert
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5.2 Fonctions de partitions du vert
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5.4 Vertex raffiné et homologie de
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226H. Jehjouh
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013509-2 Drissi, Jehjouh, and Saidi
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013509-4 Drissi, Jehjouh, and Saidi
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Page 245 and 246: Conclusion et perspectivesde ce doc
Page 247 and 248: Fonctions de Schur et MacMahontopol
Page 249 and 250: Chapitre 8Annexe : Fonctions de Sch
Page 251 and 252: Fonctions de Schur et MacMahonFig.
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Page 265 and 266: Fonctions de Schur et MacMahonOn pe
Page 267 and 268: Fonctions de Schur et MacMahona) Bo
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Page 271 and 272: Fonctions de Schur et MacMahonavec
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Page 275 and 276: Fonctions de Schur et MacMahonayant
Page 277 and 278: Bibliographie[1] J. Polchinski, Str
Page 279 and 280: BIBLIOGRAPHIE[27] A.A. Belavin, A.
Page 281 and 282: BIBLIOGRAPHIE[57] A. Braverman and
Page 283 and 284: BIBLIOGRAPHIE[87] Yukiko Konishi, I
Page 285 and 286: BIBLIOGRAPHIE[119] D. A. Cox, The H
Page 287: BIBLIOGRAPHIE[150] C. Weiss and M.
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