Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces
| dc.creator | Natanzon, Sergey | |
| dc.creator | Pratoussevitch, Anna | |
| dc.date | 2004-11-17 | |
| dc.date | 2009-05-18 | |
| dc.date.accessioned | 2026-07-07T13:15:42Z | |
| dc.date.available | 2026-07-07T13:15:42Z | |
| dc.description | 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/math/0411375 | |
| dc.identifier | http://arxiv.org/abs/math/0411375 | |
| dc.identifier | Journal of Lie Theory 19 (2009), 107-148. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230554 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 14J60, 30F10 (Primary); 14J17 (Secondary) | |
| dc.title | Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces | |
| dc.type | text |