Crystal model for the closed topological vertex geometry

Journal of High Energy Physics

Volumn 2006, Issue 12, 2006, Pages

  Sułkowski, Piotr ^a,b  

^a UNIVERSITY OF WARSAW   (Poland)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Chern Simons Theories; Topological Strings

Indexed keywords

EID: 33846181356     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/12/030     Document Type: Review

References (25)

1. K. Hori et al., Mirror symmetry Clay Mathematics Monographs, Vol. 1, AMS-CMI, Providence, 2003
2. R. Gopakumar and C. Vafa, M-theory and topological strings, II [hep-th/9812127]
3. R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence 1999 Adv. Theor. Math. Phys. 3 1415 [hep-th/9811131]
4. M. Marino, Chern-Simons theory and topological strings 2005 Rev. Mod. Phys. 77 675 [hep-th/0406005]
5. M. Aganagic, A. Klemm, M. Marino and C. Vafa, The topological vertex 2005 Comm. Math. Phys. 254 425 [hep-th/0305132]
6. M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino and C. Vafa, Topological strings and integrable hierarchies 2006 Comm. Math. Phys. 261 451 [hep-th/0312085]
7. J. Li, C. M. Liu, K. Liu, J. Zhou, A mathematical theory of the topological vertex [math.AG/0408426]
8. A. Iqbal and A.-K. Kashani-Poor, The vertex on a strip [hep-th/0410174]
9. Y. Konishi, S. Minabe, Flop invariance of the topological vertex [math.AG/0601352]
10. A. Okounkov, N. Reshetikhin and C. Vafa, Quantum Calabi-Yau and classical crystals [hep-th/0309208]
11. A. Iqbal, N. Nekrasov, A. Okounkov and C. Vafa, Quantum foam and topological strings [hep-th/0312022]
12. D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande, Gromov-Witten theory and Donaldson-Thomas theory, I-II [math.AG/0406092]
13. N. Saulina and C. Vafa, D-branes as defects in the Calabi-Yau crystal [hep-th/0404246]
14. R. Dijkgraaf, A. Sinkovics and M. Temurhan, Universal correlators from geometry 2004 J. High Energy Phys. JHEP11(2004)012 [hep-th/0406247]
15. T. Okuda, Derivation of Calabi-Yau crystals from Chern-Simons gauge theory 2005 J. High Energy Phys. JHEP03(2005)047 [hep-th/0409270]
16. N. Halmagyi, A. Sinkovics and P. Sulkowski, Knot invariants and Calabi-Yau crystals 2006 J. High Energy Phys. JHEP01(2006)040 [hep-th/0506230]
17. C. Faber, R. Pandharipande, Hodge integrals and Gromov-Witten theory [math.AG/9810173]
18. J. Bryan, N. Leung, The enumerative geometry of K3 surfaces and modular forms [alg-geom/9711031]
19. J. Bryan, D. Karp, The closed topological vertex via the Cremona transform [math.AG/0311208]
20. D. Karp, C. M. Liu, M. Marino, The local Gromov-Witten invariants of configurations of rational curves [math.AG/0506488]
21. X. De la Ossa, B. Florea and H. Skarke, D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy 2002 Nucl. Phys. B 644 170 [hep-th/0104254]
22. F. Denef, M.R. Douglas, B. Florea, A. Grassi and S. Kachru, Fixing all moduli in a simple F-theory compactification [hep-th/0503124]
23. T.J. Hollowood, A. Iqbal and C. Vafa, Matrix models, geometric engineering and elliptic genera [hep-th/0310272]
24. I. G. Macdonald, Symmetric functions and Hall polynomials Oxford Mathematical Monographs 1979
25. P. McMahon, Combinatory analysis I, II (Cambridge University Press), 1915-1916 reprinted by Chelsea, New York, 1960