Localization and gluing of topological amplitudes

Communications in Mathematical Physics

Volumn 257, Issue 1, 2005, Pages 119-149

  Diaconescu, Duiliu Emanuel ^a   Florea, Bogdan ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18844455027     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1323-8     Document Type: Article

References (26)

1. Aganagic, M., Mariño, M., Vafa, C.: All Loop Topological String Amplitudes from Chern-Simons Theory. Commun. Math. Phys. 247, 467-512 (2004)
2. Aganagic, M., Klemm, A., Marino, M., Vafa, C.: The Topological Vertex, http://arxiv.org/list/hep-th/0305132, 2003
3. Behrend, K., Fantechi, B.: The Intrinsic Normal Cone. Invent. Math. 128, 45 (1997)
4. Diaconescu, D.-E., Florea, B., Grassi, A.: Geometric Transitions and Open String Instantons. ATMP 6, 619 (2002)
5. Diaconescu, D.-E., Florea, B., Grassi, A.: Geometric Transitions, del Pezzo Surfaces and Open String Instantons. ATMP 6, 643 (2002)
6. Diaconescu, D.-E., Florea, B.: Large N Duality for Compact Calabi-Yau Threefolds. http://ar-xiv.org/list/hep-th/0302076, 2003
7. Faber, C.: Algorithms for Computing Intersection Numbers on Moduli Spaces of Curves, with an Application to the Class of the Locus of Jacobians. In : New Trends in Algebraic Geometry, Cambridge: Cambridge Univ. Press., 1999
8. Gopakumar, R., Vafa, C.: On the Gauge Theory/Geometry Correspondence. ATMP 3, 1415 (1999)
9. Graber, T., Pandharipande, R.: Localization of Virtual Classes. Invent. Math. 135, 487 (1999)
10. Graber, T., Zaslow, E.: Open String Gromov-Witten Invariants: Calculations and a Mirror 'Theorem'. http://arxiv.org/list/hep-th/0109075, 2001
11. Iqbal, A.: All Genus Topological String Amplitudes and 5-brane Webs as Feynman Diagrams. http://arxiv.org/list/hep-th/0207114, 2002
12. Iqbal, A., Kashani-Poor, A.-K.: SU(N) Geometries and Topological String Amplitudes, http:// arxiv.org/list/hep-th/0306032, 2003
13. Katz, S., Liu, C.-C. M.: Enumerative Geometry of Stable Maps with Lagrangian Boundary Conditions and Multiple Covers of the Disc. ATMP 5, 1 (2001)
14. Kontsevich, M.: Enumeration of Rational Curves via Torus Actions. In: The Moduli Space of Curves, Progr. Math. 129, Boston, MA: Birkhäuser 1995, pp. 335-368
15. Labastida, J.M.F., Mariño, M., Vafa, C.: Knots, Links and Branes at Large N. JHEP 11, 007 (2000)
16. Li, J., Tian, G.: Virtual Moduli Cycles and Gromov-Witten Invariants of Algebraic Varieties. J. Amer. Math. Soc. 11, 119 (1998)
17. Li, J.: A Degeneration of Stable Morphisms and Relative Stable Morphisms. http://arxiv.org/list/math.AG/0009097, 2000
18. Li, J.: A Degeneration Formula of GW-invariants. http://arxiv.org/list/ math.AG/0110113, 2001
19. Li, J., Song, Y.S.: Open String Instantons and Relative Stable Morphisms. ATMP 5, 67 (2002)
20. 1-Equivariant Pair. http://arxiv.org/list/math.SG/0210257, 2002
21. Liu, C.-C. M., Liu, K., Zhou, J.: On a Proof of a Conjecture of Mariño-Vafa on Hodge Integrals. Math. Res. Lett. 11(2), 259-272 (2004)
22. Liu, C.-C. M., Liu, K., Zhou, J.: A Proof of a Conjecture of Mariño-Vafa on Hodge Integrals. J. Diff. Geom. 65, 289-340 (2004)
23. Mariño, M., Vafa, C.: Framed Knots at Large N. http://arxiv.org/ list/hep-th/0108064, 2001
24. Mayr, P.: Summing up Open String Instantons and N = 1 String Amplitudes, http:// arxiv.org/list/hep-th/0203237, 2001
25. Okounkov, A., Pandharipande, R.: Hodge Integrals and Invariants of the Unknot. Geom. Topol. 8, 675-699 (2004)
26. Ooguri, H., Vafa, C.: Knot Invariants and Topological Strings. Nucl. Phys. B 577, 419 (2000)