Geodesic
Coproducts in brane topology
Wakatsuki, Shun1
1 Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 2961-2988

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We extend the loop product and the loop coproduct to the mapping space from the k–dimensional sphere, or more generally from any k–manifold, to a k–connected space with finite-dimensional rational homotopy group for k ≥ 1. The key to extending the loop coproduct is the fact that the embedding M → MSk−1 is of “finite codimension” in the sense of Gorenstein spaces. Moreover, we prove the associativity, commutativity and Frobenius compatibility of them.

DOI : 10.2140/agt.2019.19.2961
Classification : 55P35, 55P50, 55P62
Keywords: string topology, brane topology, Gorenstein space, rational homotopy theory

Wakatsuki, Shun 1

1 Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan 
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Wakatsuki, Shun. Coproducts in brane topology. Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 2961-2988. doi: 10.2140/agt.2019.19.2961

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