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

2020/09/08 by Kozlowski, Andrzej, Yamaguchi, Kohhei
#14M25 #55P10 #55P35 #55R80 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.04255

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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