Computation of the First Stiefel–Whitney Class for the Variety ℳ0.nℝ¯

N. Amburg; Kreines E. M.

doi:10.1007/s10958-015-2495-1

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Computation of the First Stiefel–Whitney Class for the Variety ℳ0.nℝ¯

Journal of Mathematical Sciences. 2015. Vol. 209. No. 2. P. 192–2122.

Amburg N., Kreines E. M.

We compute the class Wn−4(Formula presented.), which is Poincaré dual to the first Stiefel–Whitney class for the variety (Formula .presented.) in terms of the natural cell decomposition of (Formula presented.) © 2015 Springer Science+Business Media New York.

Language: English

DOI

Keywords: complex curves with marked points Modulus Space Stiefel–Whitney class

Orthogonal Pairs and Mutually Unbiased Bases

Bondal A. I., Zhdanovskiy I., Journal of Mathematical Sciences 2016 Vol. 216 No. 1 P. 23–40

The goal of our article is a study of related mathematical and physical objects: orthogonal pairs in sl(n) and mutually unbiased bases in ℂn. An orthogonal pair in a simple Lie algebra is a pair of Cartan subalgebras that are orthogonal with respect to the Killing form. The description of orthogonal pairs in a given ...

Added: July 8, 2016

Homologies of moduli space M2,1

Kochetkov Y., /. 2013. No. 1301.6059.

We consider the space $\mathcal{M}_{2,1}$ --- the open moduli space of complex curves of genus 2 with one marked point. Using language of chord diagrams we describe the cell structure of $\mathcal{M}_{2,1}$ and cell adjacency. This allows one to construct matrices of boundary operators and compute Betty numbers of $\mathcal{M}_{2,1}$ over $\mathbb{Q}$. ...

Added: February 24, 2013