Orbit configuration spaces of small covers and quasi-toric manifolds
DOI10.1007/s11425-018-9526-6zbMath1466.55003arXiv1111.6699OpenAlexW2988051636MaRDI QIDQ829117
Publication date: 5 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.6699
Euler characteristichomotopy typesmall coverorbit configuration space(real) moment-angle manifoldquasi-toric manifold
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Groups acting on specific manifolds (57S25) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Equivariant homology and cohomology in algebraic topology (55N91) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Equivariant homotopy theory in algebraic topology (55P91)
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Cites Work
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- Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture
- Orbit configuration spaces associated to discrete subgroups of \(\mathrm{PSL}(2,\mathbb R)\)
- Rigidity problems in toric topology: a survey
- Toral rank conjecture for moment-angle complexes
- Convex polytopes, Coxeter orbifolds and torus actions
- Equivariant cohomology distinguishes toric manifolds
- Invitation to topological robotics
- The homology of iterated loop spaces
- The cohomology ring of the colored braid group
- Configuration spaces of points on the circle and hyperbolic Dehn fillings. II
- On configuration spaces, their homology, and Lie algebras
- Configuration spaces of algebraic varieties
- Rational Betti numbers of configuration spaces
- On the fundamental group of certain polyhedral products
- Configuration spaces and polyhedral products
- Equivariant Chern numbers and the number of fixed points for unitary torus manifolds
- Monodromy of fiber-type arrangements and orbit configuration spaces
- Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces
- Toric cohomological rigidity of simple convex polytopes
- Topological types of 3-dimensional small covers
- Configurations, braids, and homotopy groups
- Classification problems of toric manifolds via topology
- Braids, Links, and Mapping Class Groups. (AM-82)
- Topological toric manifolds
- Configuration Spaces.
- On orbit configuration spaces associated to the Gaussian integers: Homotopy and homology groups
- On orbit configuration spaces of spheres