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A good contact toric manifold M is determined by its moment cone C. We compute the equivariant cohomology ring with Z coefficient of M in terms of the combinatorial data of C. Then under a smoothness ...
A group 􀀀 is defined to be cofinitely Hopfian if every homomorphism 􀀀 → 􀀀 whose image is of finite index is an automorphism.Geometrically significant groups enjoying this pr...
We introduce the notion of a topological toric manifold and a topo-logical fan and show that there is a bijection between omnioriented topological toric manifolds and complete non-singular topological...
This article is a survey of a series of papers [FOOO3,FOOO4,FOOO5] in which we developed the method of calculation of Floer cohomology of Lagrangian torus orbits in compact toric manifolds, and its a...
An infinite family of toric manifolds is constructed from a given one $M^{2n}$, using only the original characteristic function (or fan) data. This is done in a way which simplifies significantly the...
this paper we study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. We construct a natural isomorphism between the Frobenius manifold structures of the (big) quan...
Let   Rn be an n-dimensional integral Delzant polytope. It is wellknown that there exist the n-dimensional compact toric manifold X and the very ample (C×)n-equivariant line bundle L on X associa...

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