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A distributional Farkas’ lemma and moment optimization problems with no-gap dual semi-definite programs
We present a generalized Farkas’ Lemma for an inequality system involving distributions. This lemma establishes an equivalence between an...
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Dga Models for Moment-Angle Complexes
A dga model for the integral singular cochains on a moment-angle complex is given by the twisted tensor product of the corresponding Stanley–Reisner...
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On the (co)homology of (quotients of) moment-angle manifolds over polygons
The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m -gon explicitly in terms of the quotient of an...
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Cyclic Polytope of the Simplest Cubic Fields
We study dilations of cyclic polytopes with the vertices defined by a generator of the simplest cubic fields. In particular, for a specific range of...
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On the Homotopy Decomposition for the Quotient of a Moment–Angle Complex and Its Applications
AbstractWe prove that the quotient of any real or complex moment–angle complex by any closed subgroup in the naturally acting compact torus on it is...
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Polytope volume by descent in the face lattice and applications in social choice
We describe the computation of polytope volumes by descent in the face lattice, its implementation in Normaliz, and the connection to...
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On the topology of real Lagrangians in toric symplectic manifolds
We explore the topology of real Lagrangian submanifolds in a toric symplectic manifold which come from involutive symmetries on its moment polytope....
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Persistent Graphs and Cyclic Polytope Triangulations
We prove a bijection between the triangulations of the 3-dimensional cyclic poly-tope C ( n + 2, 3) and persistent graphs with n vertices. We show that...
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Moment-angle manifolds and connected sums of simplicial spheres
The connected sum is a fundamental operation in geometric topology and combinatorics. In this paper, we study the connection between connected sums...
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On the Genera of Moment-Angle Manifolds Associated with Dual-Neighborly Polytopes: Combinatorial Formulas and Sequences
For a family of polytopes of even dimension 2p, known as dual-neighborly, it has been shown for...
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Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one
A horospherical variety is a normal G -variety such that a connected reductive algebraic group G acts with an open orbit isomorphic to a torus bundle...
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Restricted Birkhoff Polytopes and Ehrhart Period Collapse
We show that the polytopes obtained from the Birkhoff polytope by imposing additional inequalities restricting the “longest increasing subsequence”...
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Haken 3-Manifolds in Small Covers
The authors prove that a 3-dimensional small cover M is a Haken manifold if and only if M is aspherical or equivalently the underlying simple...
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Fundamental Groups of Real Toric Spaces over Simple Polytopes
In this paper we study the cubical stuctures and fundamental groups of real toric spaces. We give an explicit presentation of the fundamental group...
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The topology of moment-angle manifolds—on a conjecture of S. Gitler and S. López de Medrano
In this paper, we study the topology of moment-angle manifolds and prove a conjecture of S. Gitler and S. López de Medrano concerned with the...
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Intersections of Coaxial Ellipsoids
Recall also from Section 2.4.6 that any intersection of coaxial ellipsoids with the same homogeneous equations as Z but with the equation of a...