Plant complexes and homological stability for Hurwitz spaces

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Jakob Frederik Tietz

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OriginalspracheEnglisch
Seitenumfang34
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 17 Juni 2016

Abstract

We study Hurwitz spaces with regard to homological stabilization. By a Hurwitz space, we mean a moduli space of branched, not necessarily connected coverings of a disk with fixed structure group and number of branch points. We choose a sequence of subspaces of Hurwitz spaces which is suitable for our investigations. In the first part, we introduce and study plant complexes, a large new class of simplicial complexes, generalizing the arc complex on a surface with marked points. In the second part, we generalize a result by Ellenberg-Venkatesh-Westerland by showing that homological stabilization of our sequence of Hurwitz spaces depends only on properties of their zeroth homology groups.

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Plant complexes and homological stability for Hurwitz spaces. / Tietz, Jakob Frederik.
2016.

Publikation: Arbeitspapier/Preprint › Preprint

Tietz JF. Plant complexes and homological stability for Hurwitz spaces. 2016 Jun 17. Epub 2016 Jun 17.
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