重力属性和模空间M g，n ${\mathcal {M}}_{g,n}$

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-30 DOI:10.1112/jlms.70313

Sergei A. Merkulov

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引用次数: 0

摘要

设mg，M + n ${\mathcal {M}}_{g,m+n}$是g格$g$的代数曲线的模空间，具有M大于或等于$m\geqslant 1$的边界和n大于或等于或等于0 $n\geqslant 0$标记点；H c•（M M + n） $H_c^{\bullet }({\mathcal {M}}_{m+n})$结构紧凑上同调群。证明了S mo p × S n ${\mathbb {S}}_m^{op}\times {\mathbb {S}}_n$ -模的集合

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$Gravity properad and moduli spaces M g , n ${\mathcal {M}}_{g,n}$$

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Gravity properad and moduli spaces M g , n ${\mathcal {M}}_{g,n}$

Let $M_{g, m + n}$ be the moduli space of algebraic curves of genus $g$ with $m ⩾ 1$ boundaries and $n ⩾ 0$ marked points, and $H_{c}^{•} (M_{m + n})$ its compactly supported cohomology group. We prove that the collection of $S_{m}^{o p} \times S_{n}$ -modules

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.