Mirror symmetry and algebraic geometry
- David A. Cox, S. Katz
- Mathematics
- 1999
Introduction The quintic threefold Toric geometry Mirror symmetry constructions Hodge theory and Yukawa couplings Moduli spaces Gromov-Witten invariants Quantum cohomology Localization Quantum…
A Geometric unification of dualities
- F. Cachazo, B. Fiol, K. Intriligator, S. Katz, C. Vafa
- Mathematics
- 2 October 2001
Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I
Using geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N=2 gauge theories in four dimensions involving products of…
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
- S. Katz, Chiu-Chu Melissa Liu
- Mathematics
- 12 March 2001
In this paper, we present foundational material towards the development of a rigorous enumerative theory of stable maps with Lagrangian boundary conditions, ie stable maps from bordered Riemann…
Mirror Symmetry for Two Parameter Models -- I
- P. Candelas, Xenia de la Ossa, A. Font, S. Katz, D. Morrison
- Mathematics
- 18 August 1993
Mirror Symmetry for Two Parameter Models - II *
- P. Candelas, A. Font, S. Katz, D. Morrison
- Mathematics
- 30 March 1994
Geometric Transitions and N=1 Quiver Theories
- F. Cachazo, S. Katz, C. Vafa
- Mathematics
- 16 August 2001
We construct N=1 supersymmetric theories on worldvolumes of D5 branes wrapped around 2-cycles of threefolds which are A-D-E fibrations over a plane. We propose large N duals as geometric transitions…
Enhanced gauge symmetry in type II string theory
- S. Katz, D. Morrison, M. Plesser
- Physics, Mathematics
- 21 January 1996
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