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CALABI’S EXTREMAL METRICS ON TORIC MANIFOLDS.
Cohomology rings of good contact toric manifolds
contact toric cohomology equivariant cohomology
2011/1/20
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...
Topological toric manifolds
toric manifold fan multi-fan quasitoric manifold torus manifold
2011/1/19
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...
Lagrangian Floer theory on compact toric manifolds: survey
Lagrangian Floer theory compact toric manifolds
2010/11/23
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...
A new topological construction of infinite families of toric manifolds implying fan reduction
topological construction toric manifolds
2010/11/8
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...
Lagrangian Floer theory and mirror symmetry on compact toric manifolds
Floer cohomology mirror symmetry toric manifolds open-closed Gromov-Witten invariant
2010/12/1
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...
Algebro-geometric semistability of polarized toric manifolds
Algebro-geometric semistability polarized toric manifolds
2010/11/26
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...