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arXiv · 1907.10212

Effective topological complexity of orientable-surface groups

Natalia Cadavid-Aguilar·Jesús González
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Abstract

We use rewriting systems to spell out cup-products in the (twisted) cohomology groups of a product of surface groups. This allows us to detect a non-trivial obstruction bounding from below the effective topological complexity of an orientable surface with respect to its antipodal involution. Our estimates are at most one unit from being optimal, and are closely related to the (regular) topological complexity of non-orientable surfaces.

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Natalia Cadavid-Aguilar, Jesús González. 2019-07-24. Effective topological complexity of orientable-surface groups. https://arxiv.org/abs/1907.10212

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