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4 papers · 2 filters
Hodge structures for orbifold cohomology
Javier Fernandez
We construct a polarized Hodge structure on the primitive part of Chen and Ruan's orbifold cohomology for projective -orbifolds satisfying a ``Hard Lefschetz…
Moduli of products of curves
Michael van Opstall
This paper studies the moduli space of stable surfaces of general type. The moduli space component containing the moduli point of a product of smooth curves of general type is prov…
Two Proofs of a Conjecture of Hori and Vafa
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We give two proofs of a conjecture of Hori and Vafa which expresses the J-function (i.e, the generating function for 1-point descendant Gromov-Witten invariants) of a Grassmannian…
Real Cubic Surfaces and Real Hyperbolic Geometry
Daniel Allcock, James A. Carlson, Domingo Toledo
The moduli space of stable real cubic surfaces is the quotient of real hyperbolic four-space by a discrete, nonarithmetic group. The volume of the moduli space is 37π^2/1080 in the…