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Компактификации пространства $\mathcal M_{0,n}$, связанные с самодвойственными по Александеру комплексами: кольца Чжоу, $\psi $-классы и числа пересечения

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 2019 Russian Publisher:Steklov Mathematical InstituteJournal:Труды Математического института имени В. А. Стеклова, volume 305, pages 250-270 (issn: 0371-9685, Copyright policy )
Authors: Gaiane Yur'evna Panina; Gaiane Yur'evna Panina; Ilia Nekrasov;

doi: 10.4213/tm3994

Компактификации пространства $\mathcal M_{0,n}$, связанные с самодвойственными по Александеру комплексами: кольца Чжоу, $\psi $-классы и числа пересечения

Abstract

С каждым самодвойственным по Александеру симплициальным комплексом связана компактификация пространства $\mathcal M_{0,n}$, называемая ASD-компактификацией, которая является гладким алгебраическим многообразием. ASD-компактификации включают в себя (помимо других) пространства многоугольников, или конфигурационные пространства шарнирных многоугольников. В работе дается явное описание кольца Чжоу ASD-компактификации. Далее исследуется аналог тавтологических расслоений Концевича, находятся их классы Черна, старшие пересечения классов Черна и выводится рекурсия для чисел пересечения.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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