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arXiv · 1710.06502

Cup length as a bound on topological complexity

Parth Sarin
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Abstract

Polynomial solving algorithms are essential to applied mathematics and the sciences. As such, reduction of their complexity has become an incredibly important field of topological research. We present a topological approach to constructing a lower bound for the complexity of a polynomial-solving algorithm, and give a concrete algorithm to do this in the case that $\mathrm{deg}(f) = 2,3,4$.

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Parth Sarin. 2017-10-17. Cup length as a bound on topological complexity. https://arxiv.org/abs/1710.06502

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