Euler characteristics for spaces of string links and the modular envelope of L_∞

2016/09/03 by Paul Arnaud Songhafouo Tsopméné, Tsopméné, Paul Arnaud Songhafouo, Victor Turchin +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1609.00778

openalex publication_date 2016/09/03 · openalex created_date 2018/02/02 · openalex updated_date 2026/07/28

Abstract

We make calculations in graph homology which further understanding of the topology of spaces of string links, in particular calculating the Euler characteristics of finite-dimensional summands in their homology and homotopy. In doing so, we also determine the supercharacter of the symmetric group action on the positive arity components of the modular envelope of L_∞.

Cited by

• Oriented hairy graphs and moduli spaces of curves

Related

• Hodge decomposition in the homology of long knots
• Structure of the string link concordance group and Hirzebruch-type invariants
• Notes on string topology
• Rational homology and homotopy of high dimensional string links
• Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots