We analyse properties of hypertoric manifolds of infinite topological type, including their topology and complex structures. We show that our manifolds have the homotopy type of an infinite union of compact toric varieties. We also discuss hypertoric analogues of the periodic Ooguri–Vafa spaces
In a number of special cases it is proved that the rational Pontrjagin–Hirzebruch classes may be com...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
We study the algebraic geometry and combinatorics of the affine Grassmannian and affine flag variety...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
The geometrical theory of functors is considered in the paper aiming at the topology investigation o...
We apply methods of homotopy theory to the study of quasitoric manifolds. More specifically, we dete...
A hypertoric variety is a quaternionic analogue of a toric variety, constructed as an algebraic symp...
We discuss various aspects of moment map geometry in symplectic and hyperKähler geometry. In particu...
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being th...
AbstractIn this paper we propose a new treatment about infinite dimensional manifolds, using the lan...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
Extending work of Bielawski-Dancer and Konno, we develop a theory of toric hyperkahler varieties, wh...
AbstractThe star hyperspace 2KSSt of a non-degenerate finite connected simplicial complex K is defin...
Quasitoric manifolds are manifolds that admit an action of the torus that is locally the same as the...
Extending work of Bielawski-Dancer [3] and Konno [14], we develop a theory of toric hyperkähler vari...
In a number of special cases it is proved that the rational Pontrjagin–Hirzebruch classes may be com...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
We study the algebraic geometry and combinatorics of the affine Grassmannian and affine flag variety...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
The geometrical theory of functors is considered in the paper aiming at the topology investigation o...
We apply methods of homotopy theory to the study of quasitoric manifolds. More specifically, we dete...
A hypertoric variety is a quaternionic analogue of a toric variety, constructed as an algebraic symp...
We discuss various aspects of moment map geometry in symplectic and hyperKähler geometry. In particu...
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being th...
AbstractIn this paper we propose a new treatment about infinite dimensional manifolds, using the lan...
In algebraic geometry actions of the torus \( (C^∗)^n \) on algebraic varieties with nice properties...
Extending work of Bielawski-Dancer and Konno, we develop a theory of toric hyperkahler varieties, wh...
AbstractThe star hyperspace 2KSSt of a non-degenerate finite connected simplicial complex K is defin...
Quasitoric manifolds are manifolds that admit an action of the torus that is locally the same as the...
Extending work of Bielawski-Dancer [3] and Konno [14], we develop a theory of toric hyperkähler vari...
In a number of special cases it is proved that the rational Pontrjagin–Hirzebruch classes may be com...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
We study the algebraic geometry and combinatorics of the affine Grassmannian and affine flag variety...
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