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Equivariant map
About: Equivariant map is a research topic. Over the lifetime, 9205 publications have been published within this topic receiving 137115 citations.
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TL;DR: In this paper, a strengthened version of the equivariant McDuff-type theorem was shown to be applicable to strongly self-absorbing C ⁎ -dynamical systems with unitarily regular actions.
38 citations
38 citations
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TL;DR: In this paper, a combinatorial expression of the dimension of the first cohomology of all ''natural'' line bundles and an equivariant Campillo-Delgado-Gusein-Zade type formula about the dimensions of relative sections of line bundles are given.
Abstract: We provide several results on splice-quotient singularities: a combinatorial expression of the dimension of the first cohomology of all `natural' line bundles, an equivariant Campillo-Delgado-Gusein-Zade type formula about the dimension of relative sections of line bundles (proving that the equivariant, divisorial multi-variable Hilbert series is topological), a combinatorial description of divisors of analytic function-germs, and an expression for the multiplicity of the singularity from its resolution graph.
Additional, we establish a new formula for the Seiberg-Witten invariants of any rational homology sphere singularity link.
38 citations
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TL;DR: In this article, the authors studied the problem of proper biharmonic immersion in the Euclidean space of invariant biconservative hypersurfaces, and showed that there exists no proper immersion in these invariant families.
Abstract: In this paper, using the framework of equivariant differential geometry, we study proper $SO(p+1) \times SO(q+1)$-invariant biconservative hypersurfaces into the Euclidean space ${\mathbb R}^n$ ($n=p+q+2$) and proper $SO(p+1)$-invariant biconservative hypersurfaces into the Euclidean space ${\mathbb R}^n$ ($n=p+2$). Moreover, we show that, in these two classes of invariant families, there exists no proper biharmonic immersion.
38 citations
TL;DR: In this article, the authors study autoequivalences of the derived category of coherent sheaves of a variety arising from a variation of GIT quotient and describe how they result from mutations of semiorthogonal decompositions.
38 citations