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In 2002, Giroux showed that every contact structure had a corresponding open book decomposition. This was the converse to a previous construction of Thurston and Winkelnkemper, and made open books a v...
A remark on weighted bergman kernels on orbifolds
A remark weighted bergman kernels orbifolds
2018/4/19
In this note, we explain that Ross-Thomas’ result [4, Theorem 1.7] on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in...
Abstract: In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in the co...
Four-orbifolds with positive isotropic curvature
Ricci flow with surgery four orbifolds positive isotropic curvature
2011/8/29
Abstract: In this note we prove the following result: Let $\mathcal{O}$ be a compact, connected Riemannian 4-orbifold with singular set of codimension at least 2 and with positive isotropic curvature....
Equivariant inverse spectral theory and toric orbifolds
Laplacian symplectic orbifold toric moment polytope equivariant spectrum constant scalar curvature
2011/8/25
Abstract: Let O be a symplectic toric 2n-dimensional orbifold with a fixed T^n-action and with a toric Kahler metric g. We previously explored whether, when O is a manifold, the equivariant spectrum o...
We analyze orbifolds with discrete torsion of the ABJM theory by a finite subgroup $\Gamma$ of $SU(2)\times SU(2)$ . Discrete torsion is implemented by twisting the crossed product algebra resulting ...
We prove a representation-theoretic version of Borisov-Batyrev mirror symmetry, and use it to construct infinitely many new pairs of orbifolds with mirror Hodge diamonds, with respect to the usual Ho...
Splice Diagram Singularities and The Universal Abelian Cover of Graph Orbifolds
Splice Diagram Singularities The Universal Abelian Cover of Graph Orbifolds
2010/11/9
Given a rational homology sphere M, whose splice diagram satisfy the semigroup condition, Neumann and Wahl were able to define a complete intersection surface singularity called splice diagram singul...
The convex real projective manifolds and orbifolds with radial ends I: the openness of deformations
The convex real projective manifolds orbifolds radial ends I
2010/11/11
A real projective orbifold is an $n$-dimensional orbifold modeled on $RP^n$ with groups $\PGL(n+1, \bR)$. We concentrate on orbifolds with a compact codimension $0$ submanifold whose complement is a u...
Methods of K¡theory and spectral theory of Dirac operators are applied to describe the Chern isomorphisms and quantum fields on branes on hyperbolic manifolds.