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Generalized complex geometry and topological sigma-models     complex geometry  topological sigma-models       font style='font-size:12px;'> 2015/3/19
Generalized complex geometry and topological sigma-models.
The coarse geometry of the Kakimizu complex     Knot theory  Seifert surface  Kakimizu complex       font style='font-size:12px;'> 2012/4/18
We show that the Kakimizu complex of minimal genus Seifert surfaces for a knot in the 3-sphere is quasi-isometric to a Euclidean integer lattice $\mathbb Z^n$ for some $n \geq 0$.
Geometry of the Homology Curve Complex     the Homology Curve Complex  Geometry  Geometric Topology       font style='font-size:12px;'> 2011/9/14
Abstract: Suppose $S$ is a closed, oriented surface of genus $g \geq 2$. This paper investigates the geometry of the "homology multicurve complex", $\mathcal{HC}(S,\alpha)$, of $S$; a complex closely ...
A topological defect separating a pair of two-dimensional CFTs is a codimension one interface along which all components of the stress-energy tensor glue continuously. We study topological defects of ...
Topological quantum field theory and hyperkähler geometry     Topological quantum field  hyperkä  hler geometry       font style='font-size:12px;'> 2010/3/1
Rozansky and Witten proposed a 3-dimensional sigma-model whose target space is a hyperkähler manifold. They conjectured that this theory has an associated TQFT, with vector spaces given by certai...
On the geometry of null curves in the minkowski 4-space     Null curves  Minkowski space  Transversal vector bundle       font style='font-size:12px;'> 2010/2/25
In this paper, we study the basic results on the general study of null curves in the Minkowski 4-space R14. A transversal vector bundle of a null curve in R14 is constructed using a frenet Frame consi...

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