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arXiv · 2312.16951

Second homotopy classes associated with non-cancellative monoids

Kyoji Saito
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Abstract

We construct second homotopy classes associated with twins of non-cancellative tuples of a monoid, where the monoid is defined by the semi-positive fundamental relations of the fundamental group of a CW-complex. As an application, we reconstruct the second homotopy classes for the complement of generic lines arrangement studied by Akio Hattori. We aim to apply the theory for the complement of elliptic discriminant loci in a forthcoming work.

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Kyoji Saito. 2023-12-28. Second homotopy classes associated with non-cancellative monoids. https://arxiv.org/abs/2312.16951

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