Affiliation:
1. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, Italy
Abstract
Abstract
We prove that the ordered configuration space of four points or more in the plane has a nonformal singular cochain algebra in characteristic 2. This is proved by constructing an explicit nontrivial obstruction class in the Hochschild cohomology of the cohomology ring of the configuration space, by means of the Barratt–Eccles–Smith simplicial model. We also show that if the number of points does not exceed its dimension then a Euclidean configuration space is intrinsically formal over any ring.
Funder
University of Rome Tor Vergata
Publisher
Oxford University Press (OUP)
Reference20 articles.
1. The Cohomology Ring of the Colored Braid Group;Arnold
2. Opérades cellulaires et espaces de lacets itérés;Berger;Ann. Inst. Fourier (Grenoble),1996
3. Combinatorial operad actions on cochains;Berger;Math. Proc. Camb. Phil. Soc.,2004
4. Koszul spaces;Berglund;Trans. Amer. Math. Soc.,2014
5. Free loop space homology of highly connected manifolds;Berglund;Forum Math,2017
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献