The homotopy type of the space of algebraic loops on a toric variety

Andrzej Kozlowski; Kohhei Yamaguchi

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arXiv · 2009.04255

The homotopy type of the space of algebraic loops on a toric variety

Andrzej Kozlowski·Kohhei Yamaguchi

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Abstract

We investigate the homotopy type of the space of tuples of polynomials inducing base-point preserving algebraic maps from the circle S1 to a toric variety XΣ. In particular, we prove a homotopy stability result for this space by combining the Vassiliev spectral sequence and the scanning map.

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Andrzej Kozlowski, Kohhei Yamaguchi. 2020-09-08. The homotopy type of the space of algebraic loops on a toric variety. https://arxiv.org/abs/2009.04255

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