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

N. Amburg; Kreines E. M.

doi:10.1007/s10958-015-2495-1

АБВ
АБВ
АБВ

Обычная версия сайта

Priority areas

by year

Subject

News

July 24, 2026

'Physics Is What the World Is Literally Built On'

Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.

July 20, 2026

Scientists Create Open Dataset for Studying Concentration

A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.

July 20, 2026

‘Science Is Universal-It Knows No Borders

Fuad Aleskerov, Tenured Professor and Director of the International Centre of Decision Choice and Analysis at HSE University, together with his colleagues, has developed methods of network analysis in bibliometrics that have made it possible to identify patterns in the appearance and citation of publications in academic journals, as well as their influence on each other. When one or a number of studies are frequently cited by a wide range of journals, this is an indicator that the research is of high quality. By contrast, extensive cross-citation within a limited group of journals increases the likelihood of identifying a network of predatory publications.

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications

?

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