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The rationality of the moduli spaces of trigonal curves of odd genus
trigonal curve rationality of moduli
2011/1/18
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
The Chas-Sullivan conjecture for a surface of infinite genus
Chas-Sullivan conjecture surface of infinite genus
2010/12/13
Let ∞,1 be the inductive limit of compact oriented surfaces with one boundary component. We prove the center of the Goldman Lie algebra of the surface ∞,1is spanned by the constant loop. A similar s...
On universal Severi varieties of low genus K3 surfaces
universal Severi varieties low genus K3 surfaces
2010/12/8
We prove the irreducibility of universal Severi varieties parametrizing irreducible, reduced, nodal hyperplane sections of primitive K3 surfaces of genus g, with 3 ≤ g ≤ 11, g 6= 10.
Cha and Kim proved that if a knot K is not algebraically slice,then no iterated Bing double of K is concordant to the unlink. We prove that if K has nontrivial signature , then the n–iterated Bing do...
Higher Genus Symplectic Invariants and Sigma Model Coupled With Gravity
Symplectic Invariants Sigma Model Coupled With Gravity
2010/3/17
Higher Genus Symplectic Invariants and Sigma Model Coupled With Gravity。
Real Gromov-Witten Invariants on the Moduli Space of Genus 0 Stable Maps to a Smooth Rational Projective Space
Gromov-Witten invariant enumerative invariant transversality intersection multiplicity real structure
2010/2/25
We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. If a target space is equipped with a real structure, i.e, ant...
On the Modular Curve X(6) and Surfaces Admitting Genus 2 Fibrations
Fibrations moduli spaces
2010/3/1
In this paper, we study the moduli spaces of surfaces admitting nonsmooth genus 2 fibrations with slope l = 6 (necessarily) over curves of genus \geq 1. We determine the structure of each connected co...