Hsian-Hua Tseng
Enumerative meaning of mirror maps for toric Calabi-Yau manifolds.
Fri, 10/21/2011 - 15:01 — SomNambulAuthors: Kwokwai Chan, Hsian-Hua Tseng, Siu-Cheong Lau
Subjects: Symplectic Geometry
AbstractWe prove Conjecture 1.1 in [Chan-Lau-Leung] for toric Calabi-Yau manifolds of
the form $K_Y$ where $Y$ is a toric Fano manifold. In particular, we show that
the coefficients of the Taylor series expansions of the inverse mirror map for
$K_Y$ can be expressed in terms of disk open Gromov-Witten invariants defined
by Fukaya-Oh-Ohta-Ono.On the Bogomolov-Miyaoka-Yau inequality for Deligne-Mumford surfaces.
Wed, 01/19/2011 - 16:01 — SomNambulAuthors: Jiun-Cheng Chen, Hsian-Hua Tseng
Subjects: Algebraic Geometry
AbstractWe discuss a generalization of the Bogomolov-Miyaoka-Yau inequality to
Deligne-Mumford surfaces of general type.- 2 comments
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On Donaldson-Thomas invariants of threefold stacks and gerbes.
Tue, 01/05/2010 - 16:01 — SomNambulAuthors: Amin Gholampour, Hsian-Hua Tseng
Subjects: Algebraic Geometry
AbstractWe present a construction of Donaldson-Thomas invariants for
three-dimensional projective Calabi-Yau Deligne-Mumford stacks. We also study
the structure of these invariants for etale gerbes over such stacks.On degree zero elliptic orbifold Gromov-Witten invariants.
Mon, 12/21/2009 - 16:01 — SomNambulAuthors: Hsian-Hua Tseng
Subjects: Algebraic Geometry
AbstractWe compute, by two methods, the genus one degree zero orbifold Gromov-Witten
invariants with non-stacky insertions which are exceptional cases of the
dilaton and divisor equations. One method involves a detailed analysis of the
relevant moduli spaces. The other mathod, valid in the presence of torus
actions with isolated fixed points, is virtual localization. These computations
verify the conjectural evaluations of these invariants. Some genus one twisted
orbifold Gromov-Witten invariants are also computed.
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