Results 121 to 130 of about 56,136 (229)
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Equivariant Seidel maps and a flat connection on equivariant symplectic cohomology
Todd Liebenschutz-Jones
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley +1 more source
A Study of Ordinary Differential Equations Arising from Equivariant Harmonic Maps [PDF]
Keisuke Ueno
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The location of a robot is a key aspect in the field of mobile robotics. This problem is particularly complex when the initial pose of the robot is unknown. In order to find a solution, it is necessary to perform a global localization. In this paper, we propose a method that addresses this problem using a coarse‐to‐fine solution.
Míriam Máximo +5 more
wiley +1 more source
Characterization of large energy solutions of the equivariant wave map problem: I [PDF]
Raphaël Côte +3 more
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$Sp(n)$-equivariant harmonic maps between complex projective spaces [PDF]
Toshimasa Kobayashi
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The degree of equivariant maps
The \(G\)-index of a \(G\)-space \(X\) with coefficients in \(K\), \(Ind^G(X,K)\), is the kernel of the cohomology map \(c^*_G: H^*_G(*;K) \to H^*_G(X;K)\), where \(c: X \to *\) is the constant map into the one-point space \(*\). If \(G\) acts freely on \(X\) then \(H^*_G(*;K) \cong H^*(BG;K)\), where \(BG\) is the classifying space for \(G\); if ...
openaire +2 more sources

