New construction of the brane coproduct and vanishing of cup products on sphere spaces

Shun Wakatsuki

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arXiv · 1905.00644

New construction of the brane coproduct and vanishing of cup products on sphere spaces

Shun Wakatsuki

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Abstract

Using the loop coproduct, Menichi proved that the cup product with the orientation class vanishes for a closed connected oriented manifold with non-trivial Euler characteristic. We generalize this to the sphere spaces, i.e. the mapping spaces from spheres, using two generalizations of the loop coproduct to sphere spaces. One is constructed in this paper and the other in a previous paper of the author.

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BibTeX RIS

Shun Wakatsuki. 2019-05-02. New construction of the brane coproduct and vanishing of cup products on sphere spaces. https://arxiv.org/abs/1905.00644

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