Massey Products for Graph Homology-Reference-Cited by-同舟云学术

Massey Products for Graph Homology

Published:2021-01-09 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Ward Benjamin C¹

Affiliation:

1. Bowling Green State University

Abstract

Abstract This paper shows that the operad encoding modular operads is Koszul. Using this result, we construct higher composition operations on (hairy) graph homology, which characterize its rational homotopy type.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa346/35550098/rnaa346.pdf

Reference54 articles.

1. Calculus of functors, operad formality, and rational homology of embedding spaces;Arone;Acta Math.,2007

2. Brown’s dihedral moduli space and freedom of the gravity operad;Alm;Ann. Sci. Éc. Norm. Supér. (4),2017

3. On the rational homology of high-dimensional analogues of spaces of long knots;Arone;Geom. Topol.,2014

4. Homological perturbation theory for algebras over operads;Berglund;Algebr. Geom. Topol.,2014

5. Regular patterns, substitudes, Feynman categories and operads;Batanin;Theory Appl. Categ.,2018

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