谱李算子上自由代数的奇初等同调

IF 0.5 4区数学 Q2 MATHEMATICS Journal of Homotopy and Related Structures Pub Date : 2017-12-07 DOI:10.1007/s40062-017-0194-y

Jens Jakob Kjaer

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引用次数: 9

摘要

古德威利微积分中恒等函子在空间上的导数构成了谱中的一个操作符。Antolin-Camarena计算了1连通谱上自由代数的模2同调。在本文中，我们对奇素数的模p同调进行了类似的计算，也对非连通谱进行了类似的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the odd primary homology of free algebras over the spectral lie operad

The derivatives of the identity functor on spaces in Goodwillie calculus form an operad in spectra. Antolin-Camarena computed the mod 2 homology of free algebras over this operad for 1-connected spectra. In this present paper we carry out similar computations for mod p homology for odd primes p, also for non-connected spectra.

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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