Natanzon, Sergey and Pratoussevitch, Anna ORCID: 0000-0003-2248-6382
(2004)
Higher Arf Functions and Topology of the Moduli Space of Higher Spin
Riemann Surfaces.
Journal of Lie Theory 19 (2009), 107-148., 19 (1).
pp. 107-148.
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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 |
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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: | 17 Dec 2022 02:30 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3000213 |