Euler characteristics for spaces of string links and the modular envelope of $L_{\infty }$

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 $L_{\infty }$.

arXiv commentWe changed the title, the abstract, and improved the exposition. We also added better explanations on the modular operads. This is the final version, which will appear in Homology, Homotopy and Applications. arXiv admin note: text overlap with arXiv:1504.00896

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