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

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BIBLIOGRAPHIE[102] E.Witten, Mirror manifolds and topological field theory, arxiv : hep-th 9112056.[103] K. Hori, S. Katz, A. Klemm, R. Pandharipande, R. P. Thomas, C. Vafa, R. Vakil,and E. Zaslow, Mirror symmetry, vol. 1 of Clay Mathematics Monographs. AmericanMathematical Society, Providence, RI, 2003.[104] M. Aganagic, A. Klemm, and C. Vafa, Disk Instantons, Mirror Symmetry and theDuality Web, hep-th/0105045.[105] M. Aganagic and C. Vafa, Mirror symmetry and supermanifolds, hep-th/0403192.[106] A. Grassi, M. Rossi, Large N dualities and transitions in geometry,math.AG/0209044.[107] H. Ooguri, C. Vafa, Worldsheet Derivation of a Large N Duality, Nucl. Phys. B641(2002) 3-34 hep-th/0205297.[108] J. Gomis, T. Okuda, Wilson Loops, Geometric Transitions and Bubbling Calabi-Yau’s, JHEP 0702 (2007) 083 hep-th/0612190.[109] V. V. Batyrev, Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces,J. Alg. Geom. 3 (1994) 493, alg-geom/931000.[110] R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence, Adv.Theor. Math. Phys. 3 (1999) 14151443, hep-th/9811131.[111] P. Candelas and X. C. de la Ossa, “Comments on Conifolds,” Nucl. Phys. B 342(1990) 246.[112] P. Griffiths, J. Harris, Principles of algebraic geometry, Wiley-Interscience, New York,1978.[113] N. Leung, C. Vafa, Branes and toric geometry, Adv. Theor. Math. Phys. 2 (1998) 9,hep-th/9711013.[114] S. Franco, A. Hanany, D. Martelli, J. Sparks, D. Vegh, B. Wecht, Gauge Theoriesfrom Toric Geometry and Brane Tilings, JHEP 0601 (2006) 128, hep-th/0505211.[115] D. Cox, Recent developments in toric geometry, arXiv :alg-geom/9606016.[116] H. Skarke, String dualities and toric geometry : An introduction, hep-th/9806059.[117] W. Fulton, Introduction to Toric Varieties. Annals of Mathematics Studies. PrincetonUniversity Press, 1993. 157p.[118] V. Bouchard, Toric Geometry and String Theory. PhD thesis, University of Oxford,2005, hep-th/0609123.278
BIBLIOGRAPHIE[119] D. A. Cox, The Homogeneous Coordinate Ring of a Toric Variety, alg-geom/9210008.[120] Kristian D. Kennaway, A Geometrical Construction of Rational Boundary States inLinear Sigma Models, arXiv :hep-th/0203266v3.[121] K. Hori, Linear Models of Supersymmetric D-branes, hep-th/0012179.[122] S. Hellerman, S. Kachru, A. Lawrence, J. McGreevy, Linear Sigma Models for OpenStrings, hep-th/0109069.[123] R. Harvey, H. B. Lawson, Calibrated geometries, Acta Mathematica 148 (1982) 47.[124] A.Strominger, S.TYau et E.Zaslow Mirror symmetrie is T-duality, Nuclear Phys, B479, 1996, p. 243-259.[125] R. K. Kaul, T. R. Govindarajan, Three Dimensional Chern-Simons Theory as aTheory of Knots and Links, Journal-ref : Nucl.Phys. B380 (1992) 293-336, arXiv :hepth/9111063.[126] Hirosi Ooguri and Cumrun Vafa, Knot Invariants and Topological Strings, J.r :Nucl.Phys. B577 (2000) 419-438, arXiv :hep-th/9912123.[127] M. Khovanov, sl(3) link homology, Algebr. Geom. Topol. 4 (2004) 1045,math.QA/0304375.[128] D. Karp, C. M. Liu, M. Marino, The local Gromov-Witten invariants of configurationsof rational curves, Geometry Topology Monographs 10 (2006) 115-168,math.AG/0506488.[129] T. Graber and E. Zaslow, Open string Gromov-Witten invariants : Calculations anda mirror ’theorem’ arXiv :hep-th/0109075.[130] Johanna Knapp, D-Branes in Topological String Theory, arXiv :0709.2045.[131] K. Hori, A. Iqbal, C. Vafa, D-Branes And Mirror Symmetry, hep-th/0005247.[132] H. Ooguri, Y. Oz, Z. Yin, D-Branes on Calabi-Yau Spaces and Their Mirrors, Nucl.Phys. B477 (1996) 407-430, hep-th/9606112.[133] L.B Drissi, H. Jehjouh, E.H Saidi, Topological String on Local Elliptic Curve withLarge Complex Structure, Afr Journal Of Mathematical Physics, Volume 6 (2008)95-103.[134] E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys.121 (1989) 351-399.279
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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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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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Page 249 and 250: Chapitre 8Annexe : Fonctions de Sch
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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: BIBLIOGRAPHIE[87] Yukiko Konishi, I
Page 287 and 288: BIBLIOGRAPHIE[150] C. Weiss and M.
Page 289 and 290: BIBLIOGRAPHIE[180] H. Awata and H.
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