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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 article, a general method for computing Hodge numbers for Calabi-Yau manifolds realized as discrete quotients of complete intersections in products of projective spaces is presented.
Abstract: We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies on the computation of equivariant cohomologies and is illustrated for several explicit examples. In this way, we compute the Hodge numbers for all discrete quotients obtained in Braun’s classification [1].
40 citations
TL;DR: In this article, a recent experiment on parametrically excited surface waves in square geometry can be understood in terms of a codiimension-three bifurcation in an appropriately formulated D 4 -equivariant map.
40 citations
TL;DR: In this article, a complete homeomorphism classification of closed oriented 4-manifolds with solvable Baumslag-Solitar fundamental groups is presented, including a precise realization result.
Abstract: Closed oriented 4-manifolds with the same geometrically two-dimensional fundamental group (satisfying certain properties) are classified up to s-cobordism by their w2-type, equivariant intersection form and the Kirby–Siebenmann invariant. As an application, we obtain a complete homeomorphism classification of closed oriented 4-manifolds with solvable Baumslag–Solitar fundamental groups, including a precise realization result.
40 citations
TL;DR: In this article, an equivariant comparison theorem in l -adic cohomology is used to convert the computation of the graded character of the induced action on cohomologies into questions about numbers of rational points of varieties over finite fields.
40 citations
TL;DR: In this paper, a theory of perceptual-cognitive processing has been proposed for higher-form perception, which is based on the notion of spatial invariants of certain Lie subgroups of Euclidean and non-Euclidean geometry.
40 citations