Topic
Equivariant map
About: Equivariant map is a research topic. Over the lifetime, 9205 publications have been published within this topic receiving 137115 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, it was shown that brane charge quantization in unstable equivariant cohomotopy implies the anomaly cancellation conditions for Mbranes and D-branes on flat orbi-orientifolds.
41 citations
41 citations
TL;DR: The median is equivariant, monotonic, and has 50% breakdown as mentioned in this paper, which is the first estimator that has all three properties and no other estimator has them.
Abstract: The median is equivariant, monotonic, and has 50% breakdown. No other estimator has all three properties.
41 citations
TL;DR: Some distributions of limit cycles of Z2-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 are investigated and configurations of compound eyes are obtained by using the bifurcation theory of planar dynamical systems and the method of detection functions.
Abstract: Some distributions of limit cycles of Z2-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 are investigated. These include examples of specific Z2-equivariant fields and Z4-equivariant fields having up to 23 limit cycles. The configurations of compound eyes are also obtained by using the bifurcation theory of planar dynamical systems and the method of detection functions.
41 citations
TL;DR: In this paper, a general method for calculating Thom polynomials of contact singularities is developed, along with relations with the equivariant geometry of (punctual, local) Hilbert schemes, and with iterated residue identities.
Abstract: Thom polynomials measure how global topology forces singularities. The power of Thom polynomials predestine them to be a useful tool not only in differential topology, but also in algebraic geometry (enumerative geometry, moduli spaces) and algebraic combinatorics. The main obstacle of their widespread application is that only a few, sporadic Thom polynomials have been known explicitly. In this paper we develop a general method for calculating Thom polynomials of contact singularities. Along the way, relations with the equivariant geometry of (punctual, local) Hilbert schemes, and with iterated residue identities are revealed.
41 citations