Seonjeong Park

Toric origami manifolds and multi-fans

The notion of a toric origami manifold, which weakens the notion of a symplectic toric manifold, was introduced by A. Cannas da Silva, V. Guillemin and A.R. Pires. They showed that toric origami manifolds bijectively correspond to origami templates via moment maps, where an origami template is a collection of Delzant polytopes with some folding data. Like a fan is associated to a Delzant polytope, a multi-fan introduced by A. Hattori and M. Masuda can be associated to an oriented origami template. In this paper, we discuss their relationship and show that any simply connected compact smooth 4-manifold with a smooth action of T2 can be a toric origami manifold. We also characterize products of even dimensional spheres which can be toric origami manifolds.

Projective bundles over toric surfaces

Let

Shellable posets arising from the even subgraphs of a graph

E

Topological classification of quasitoric manifolds with second Betti number 2

be the Whitney sum of complex line bundles over a topological space

COHOMOLOGY OF TORIC ORIGAMI MANIFOLDS WITH ACYCLIC PROPER FACES

X

Когомологическая жeсткость многообразий, задаваемых трeхмерными многогранниками@@@

. Then, the projectivization

Pseudograph and its associated real toric manifold

P(E)

Q-TRIVIAL GENERALIZED BOTT MANIFOLDS

of

Graph cubeahedra and graph associahedra in toric topology

E

On shellability for a poset of even subgraphs of a graph.

is called a \emph{projective bundle} over