Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces



Natanzon, Sergey and Pratoussevitch, Anna ORCID: 0000-0003-2248-6382
Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces. Journal of Lie Theory 19 (2009), 107-148..

[img] Text
0411375v6.pdf

Download (385kB)

Abstract

We prove that any connected component of the space of m-spin structures on compact Riemann surfaces with finite number of punctures and holes is homeomorphic to a quotient of the vector space R^d by a discrete group action. Our proof is based on the representation of the space of m-spin structures on a Riemann surface as a finite affine space of Z/mZ-valued functions on the fundamental group of the surface.

Item Type: Article
Additional Information: 32 pages, 6 figures; v3: exposition improved, typos corrected; v4: Lemma 3.9 corrected; v5: small changes in Def. 4.2 and proof of Lemma 4.5
Uncontrolled Keywords: math.AG, math.AG, math.GT, 14J60, 30F10 (Primary); 14J17 (Secondary)
Depositing User: Symplectic Admin
Date Deposited: 11 Apr 2016 16:10
Last Modified: 12 Nov 2019 14:35
Related URLs:
URI: http://livrepository.liverpool.ac.uk/id/eprint/3000213
Repository Staff Access