arXiv:2009.04255 Abstract | arXiv Analytics

arXiv:2009.04255 [math.AT]Abstract References Reviews Resources

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

Published 2020-09-08Version 1

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 X{\Sigma}. In particular, we prove a homotopy stability result for this space by combining the Vassiliev spectral sequence and the scanning map.

Comments: arXiv admin note: text overlap with arXiv:1707.02603

Categories: math.AT

Subjects: 55P10, 55R80, 55P35, 14M25

Keywords: homotopy type, toric variety, algebraic loops, homotopy stability result, vassiliev spectral sequence

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