Half-dimensional torus actions

2015 ◽  
pp. 239-312
Keyword(s):  
Dimensional Torus ◽  
Torus Actions

scholarly journals Equivariant cohomology of torus orbifolds

2020 ◽  
pp. 1-30
Author(s):  
Alastair Darby ◽  
Shintarô Kuroki ◽  
Jongbaek Song
Keyword(s):  
Equivariant Cohomology ◽  
Dimensional Torus ◽  
Torus Actions ◽  
Generators And Relations ◽  
Odd Degree

Abstract We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specializing to half-dimensional torus actions.

scholarly journals On the structure of Pedersen-Poon twistor spaces

2002 ◽  
Vol 91 (2) ◽  
pp. 175
Author(s):  
Nobuhiro Honda
Keyword(s):  
Torus Action ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Toric Surface ◽  
Twistor Spaces ◽  
Torus Actions ◽  
Geometric Properties ◽  
Toric Surfaces ◽  
Dual Graphs

We study algebro-geometric properties of certain twistor spaces over $n\boldsymbol{CP}^2$ with two dimensional torus actions, whose existence was proved by Pedersen and Poon. We show that they have a pencil whose general members are non-singular toric surface, and completely determine the structure of the reducible members of the pencil, which are also toric surfaces. In the course of our proof, we describe behaviors of the above pencil under equivariant smoothing. Relation between the weighted dual graphs of the toric surfaces in the pencil and similar invariant of the above torus action on $n\boldsymbol{CP}^2$ is also determined.

scholarly journals Pro-torus actions on Poincaré duality spaces

2006 ◽  
Vol 116 (3) ◽  
pp. 293-298
Author(s):  
Ali Özkurt ◽  
Doğan Dönmez
Keyword(s):  
Poincaré Duality ◽  
Poincare Duality ◽  
Torus Actions

scholarly journals Compact anti-self-dual orbifolds with torus actions

2010 ◽  
Vol 17 (2) ◽  
pp. 223-280 ◽  
Author(s):  
Dominic Wright
Keyword(s):  
Torus Actions

scholarly journals Minimal F2-flows

1985 ◽  
Vol 39 (2) ◽  
pp. 187-193
Author(s):  
Daniel Berend
Keyword(s):  
Hausdorff Dimension ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Affine Transformations ◽  
Dimensional Torus ◽  
Minimal Sets ◽  
Necessary And Sufficient

AbstractLet σ be an ergodic endomorphism of the r–dimensional torus and Π a semigroup generated by two affine transformations lying above σ. We show that the flow defined by Π admits minimal sets of positive Hausdorff dimension and we give necessary and sufficient conditions for this flow to be minimal.

scholarly journals Circular quiver gauge theories, isomonodromic deformations and $$W_N$$ fermions on the torus

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Giulio Bonelli ◽  
Fabrizio Del Monte ◽  
Pavlo Gavrylenko ◽  
Alessandro Tanzini
Keyword(s):  
Integrable System ◽  
Gauge Theories ◽  
The Self ◽  
Free Fermion ◽  
Two Dimensional ◽  
Isomonodromic Deformation ◽  
Specific Time ◽  
Dimensional Torus ◽  
Isomonodromic Deformations ◽  
Deformation Problem

AbstractWe study the relation between class $$\mathcal {S}$$ S theories on punctured tori and isomonodromic deformations of flat SL(N) connections on the two-dimensional torus with punctures. Turning on the self-dual $$\Omega $$ Ω -background corresponds to a deautonomization of the Seiberg–Witten integrable system which implies a specific time dependence in its Hamiltonians. We show that the corresponding $$\tau $$ τ -function is proportional to the dual gauge theory partition function, the proportionality factor being a nontrivial function of the solution of the deautonomized Seiberg–Witten integrable system. This is obtained by mapping the isomonodromic deformation problem to $$W_N$$ W N free fermion correlators on the torus.

scholarly journals Normal singularities with torus actions

2013 ◽  
Vol 65 (1) ◽  
pp. 105-130 ◽  
Author(s):  
Alvaro Liendo ◽  
Hendrik Süss
Keyword(s):  
Torus Actions

scholarly journals Fourth-order dispersive systems on the one-dimensional torus

2015 ◽  
Vol 6 (2) ◽  
pp. 237-263 ◽  
Author(s):  
Hiroyuki Chihara
Keyword(s):  
Fourth Order ◽  
Dimensional Torus ◽  
One Dimensional ◽  
Dispersive Systems ◽  
The One

Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus

1994 ◽  
Vol 46 (9) ◽  
pp. 1336-1344
Author(s):  
A. M. Samoilenko ◽  
D. I. Martynyuk ◽  
N. A. Perestyuk
Keyword(s):  
Difference Equations ◽  
Periodic Systems ◽  
Almost Periodic ◽  
Dimensional Torus ◽  
Infinite Dimensional ◽  
Infinite Dimensional Torus

Bi-invariant sets and measures have integer Hausdorff dimension

1999 ◽  
Vol 19 (2) ◽  
pp. 523-534 ◽  
Author(s):  
DAVID MEIRI ◽  
YUVAL PERES
Keyword(s):  
Hausdorff Dimension ◽  
Invariant Measure ◽  
Ergodic Measure ◽  
Invariant Set ◽  
Invariant Sets ◽  
Dimensional Torus ◽  
Uniformly Distributed Sequence ◽  
Invariant Ergodic Measure

Let $A,B$ be two diagonal endomorphisms of the $d$-dimensional torus with corresponding eigenvalues relatively prime. We show that for any $A$-invariant ergodic measure $\mu$, there exists a projection onto a torus ${\mathbb T}^r$ of dimension $r\ge\dim\mu$, that maps $\mu$-almost every $B$-orbit to a uniformly distributed sequence in ${\mathbb T}^r$. As a corollary we obtain that the Hausdorff dimension of any bi-invariant measure, as well as any closed bi-invariant set, is an integer.

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