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Equivariant basic cohomology of singular Riemannian foliations
We extend the notion of equivariant basic cohomology to singular Riemannian foliations with transverse infinitesimal actions, aiming the particular...
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Equivariant Cobordism of Smooth Projective Spherical Varieties
We study the equivariant cobordism rings for the action of a torus T on smooth varieties over an algebraically closed field of characteristic zero....
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The Quotient Criterion for Syzygies in Equivariant Cohomology for Elementary Abelian 2-Group Actions
Let G be a elementary abelian 2-group and X be a manifold with a locally standard action of G . We provide a criterion to determine the syzygy order...
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On equivariant class formulas for Anderson modules
We obtain an equivariant class formula for z -deformation of Anderson modules. Under mild conditions, it allows us to get an equivariant class formula...
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Equivariant Burnside groups and toric varieties
We study G -equivariant birational geometry of toric varieties, where G is a finite group.
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Equivariant Grothendieck ring of a complete symmetric variety of minimal rank
We describe the G -equivariant Grothendieck ring of a regular compactification X of an adjoint symmetric space G / H of minimal rank. This extends the...
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Equivariant index bound for min–max free boundary minimal surfaces
Given a three-dimensional Riemannian manifold with boundary and a finite group of orientation-preserving isometries of this manifold, we prove that...
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Equivariant Burnside groups and representation theory
We apply the equivariant Burnside group formalism to distinguish linear actions of finite groups, up to equivariant birationality. Our approach is...
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Coboundary expansion, equivariant overlap, and crossing numbers of simplicial complexes
We prove the following quantitative Borsuk–Ulam-type result (an equivariant analogue of Gromov’s Topological Overlap Theorem): Let X be a free...
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Computing equivariant matrices on homogeneous spaces for geometric deep learning and automorphic Lie algebras
We develop an elementary method to compute spaces of equivariant maps from a homogeneous space G / H of a Lie group G to a module of this group. The...
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EQUIVARIANT COX RING
We define the equivariant Cox ring of a normal variety with algebraic group action. We study algebraic and geometric aspects of this object and show...
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ℤ/rℤ-equivariant covers of ℙ1 with moving ramification
Let X → ℙ 1 be a general cyclic cover. We give a simple formula for the number of equivariant meromorphic functions on X subject to ramification...
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A geometric approach to equivariant factorization homology and nonabelian Poincaré duality
Fix a finite group G and an n -dimensional orthogonal G -representation V . We define the equivariant factorization homology of a V -framed smooth G -manif...
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Equivariant Oka theory: survey of recent progress
We survey recent work, published since 2015, on equivariant Oka theory. The main results described in the survey are as follows. Homotopy principles...
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Equivariant eta forms and equivariant differential K-theory
In this paper, for a compact Lie group action, we prove the anomaly formula and the functoriality of the equivariant Bismut-Cheeger eta forms with...
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Reconstructing the orbit type stratification of a torus action from its equivariant cohomology
We investigate what information on the orbit type stratification of a torus action on a compact space is contained in its rational equivariant...
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Equivariant Cobordism of Torus Orbifolds
Torus orbifolds are topological generalizations of symplectic toric orbifolds. The authours give a construction of smooth orbifolds with torus...