Seonjeong Park

activity

20102026

most citedCohomological rigidity of manifolds defined by right-angled 3-dimensional polytopes

34 citations · 71 across the 24 of their papers we have counts for

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13 papers · 1 filter

math.AT2021

Conic decomposition of a toric variety and its application to cohomology

Seonjeong Park, Jongbaek Song

We introduce the notion of a \emph{conic sequence} of a convex polytope. It is a way of building up a polytope starting from a vertex and attaching faces one by one with certain re…

math.AT2020★ 4 cited

On Schubert varieties of complexity one

Eunjeong Lee, Mikiya Masuda, Seonjeong Park

Let $B$ be a Borel subgroup of $GL_{n} (C)$ and $T$ a maximal torus contained in $B$ . Then $T$ acts on $GL_{n} (C) / B$ and every Sc…

math.AT2020

Poincare polynomials of generic torus orbit closures in Schubert varieties

Eunjeong Lee, Mikiya Masuda, Seonjeong Park +1

The closure of a generic torus orbit in the flag variety $G / B$ of type $A$ is known to be a permutohedral variety and its Poincare polynomial agrees with the Eulerian polynomial. I…

math.AT2017

Toric manifolds over cyclohedra

Seonjeong Park

We study the action of the dihedral group on the (equivariant) cohomology of the toric manifolds associated with cycle graphs.

math.AT2017★ 2 cited

Classification of toric manifolds over an $n$ -cube with one vertex cut

Sho Hasui, Hideya Kuwata, Mikiya Masuda +1

We say that a complete nonsingular toric variety (called a toric manifold in this paper) is over $P$ if its quotient by the compact torus is homeomorphic to $P$ as a manifold with…

math.AT2016★ 34 cited

Cohomological rigidity of manifolds defined by right-angled 3-dimensional polytopes

Victor Buchstaber, Nikolay Erokhovets, Mikiya Masuda +2

A family of closed manifolds is called cohomologically rigid if a cohomology ring isomorphism implies a diffeomorphism for any two manifolds in the family. We establish cohomologic…

math.AT2015

Pseudograph and its associated real toric manifold

Suyoung Choi, Boram Park, Seonjeong Park

Given a simple graph $G$ , the graph associahedron $P_{G}$ is a convex polytope whose facets correspond to the connected induced subgraphs of $G$ . Graph associahedra have been studied…

math.AT2014

Toric origami structures on quasitoric manifolds

Anton Ayzenberg, Mikiya Masuda, Seonjeong Park +1

We construct quasitoric manifolds of dimension 6 and higher which are not equivariantly homeomorphic to any toric origami manifold. All necessary topological definitions and combin…

math.AT2014★ 5 cited

Cohomology of toric origami manifolds with acyclic proper faces

Anton Ayzenberg, Mikiya Masuda, Seonjeong Park +1

A toric origami manifold is a generalization of a symplectic toric manifold (or a toric symplectic manifold). The origami symplectic form is allowed to degenerate in a good control…

math.AT2013

Strong cohomological rigidity of toric varieties

Suyoung Choi, Seonjeong Park

Every cohomology ring isomorphism between two non-singular complete toric varieties and quasitoric manifolds, respectively, with second Betti number $2$ is realizable by a diffeomo…

math.AT2012★ 1 cited

$Q$ -trivial generalized Bott manifolds

Seonjeong Park, Dong Youp Suh

When the cohomology ring of a generalized Bott manifold with $Q$ -coefficient is isomorphic to that of a product of complex projective spaces $C P^{n_{i}}$ , the gener…

math.AT2012

Projective bundles over toric surfaces

Suyoung Choi, Seonjeong Park

Let $E$ be the Whitney sum of complex line bundles over a topological space $X$ . Then, the projectivization $P (E)$ of $E$ is called a \emph{projective bundle} over $X$ . If $X$ is a…

math.AT2010★ 2 cited

Topological classification of quasitoric manifolds with the second Betti number 2

Suyoung Choi, Seonjeong Park, Dong Youp Suh

A quasitoric manifold is a $2 n$ -dimensional compact smooth manifold with a locally standard action of an $n$ -dimensional torus whose orbit space is a simple polytope. In this artic…