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math.AG2008★ 6 cited
Algebraic structures on the topology of moduli spaces of curves and maps
Y. -P. Lee, R. Vakil
We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relation with Gromov--Witten theory and integrable systems.
math.AG2001
Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups
Alexander Givental, Yuan-Pin Lee
We conjecture that appropriate K-theoretic Gromov-Witten invariants of complex flag manifolds G/B are governed by finite-difference versions of Toda systems constructed in terms of…
math.AG2000
Virtual Fundamental Classes of Zero Loci
David A. Cox, Sheldon Katz, Yuan-Pin Lee
Let V be a convex vector bundle over a smooth projective manifold X, and let Y be the subset of X which is the zero locus of a regular section of V. This mostly expository paper di…