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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...
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...
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....
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 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...
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...
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...

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