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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… Click to show full 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.
Keywords:
surface groups;
surface;
topological complexity;
effective topological;
complexity orientable
Journal Title: Topology and its Applications
Year Published: 2020
Link to full text (if available)
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Journal Title: Topology and its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!