Two-loop part of the rational homotopy of spaces of long embeddings-Reference-Cited by-同舟云学术

Two-loop part of the rational homotopy of spaces of long embeddings

Published:2014-04 Issue:04 Volume:23 Page:1450018
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Conant Jim¹,Costello Jean²,Turchin Victor³,Weed Patrick⁴

Affiliation:

1. Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA

2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

3. Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA

4. Department of Mathematics, University of California, Davis, CA 95616, USA

Abstract

Arone and Turchin defined graph-complexes computing the rational homotopy of the spaces of long embeddings. The graph-complexes split into a direct sum by the number of loops in graphs. In this paper, we compute the homology of its two-loop part.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216514500187

Reference5 articles.

1. Cut vertices in commutative graphs

2. On the Combinatorial Structure of Primitive Vassiliev Invariants, II

3. Vanishing of 3-loop Jacobi diagrams of odd degree

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