Hodge polynomials of SL (2,C)-character varieties for curves of small genus
| dc.contributor.author | Logares Jiménez, Marina Lucía | |
| dc.contributor.author | Muñoz Velázquez, Vicente | |
| dc.contributor.author | Newstead, P. E. | |
| dc.date.accessioned | 2023-06-19T13:21:54Z | |
| dc.date.available | 2023-06-19T13:21:54Z | |
| dc.date.issued | 2013-07 | |
| dc.description.abstract | We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve into for the case of small genus and allowing the holonomy around a fixed point to be any matrix of that is diagonalisable, or of either of the two Jordan types. For this, we introduce a new geometric technique, based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations | en |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | i-Math Future contract | |
| dc.description.sponsorship | FCT (Portugal) | |
| dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (España) | |
| dc.description.sponsorship | FCT (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22604 | |
| dc.identifier.citation | Logares Jiménez, M., Muñoz Velázquez, V. & Newstead, P. E. «Hodge Polynomials of SL $$(2,\mathbb{C })$$ -Character Varieties for Curves of Small Genus». Revista Matemática Complutense, vol. 26, n.o 2, julio de 2013, pp. 635-703. DOI.org (Crossref), https://doi.org/10.1007/s13163-013-0115-5. | |
| dc.identifier.doi | 10.1007/s13163-013-0115-5 | |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.officialurl | https//doi.org/10.1007/s13163-013-0115-5 | |
| dc.identifier.relatedurl | http://link.springer.com/content/pdf/10.1007%2Fs13163-013-0115-5.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33336 | |
| dc.issue.number | 2 | |
| dc.journal.title | Revista matemática complutense | |
| dc.language.iso | eng | |
| dc.page.final | 703 | |
| dc.page.initial | 635 | |
| dc.publisher | Springer | |
| dc.relation.projectID | PTDC/MAT/099275/2008 | |
| dc.relation.projectID | MTM2010-17389 | |
| dc.relation.projectID | MTM2010-17717 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Moduli spaces | |
| dc.subject.keyword | E-polynomial | |
| dc.subject.keyword | Character varieties | |
| dc.subject.keyword | Surface group | |
| dc.subject.ucm | Geometría | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Hodge polynomials of SL (2,C)-character varieties for curves of small genus | en |
| dc.type | journal article | |
| dc.volume.number | 26 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 677acfda-37d4-4144-9df0-ac0e5e0839ee | |
| relation.isAuthorOfPublication | 7b872afc-f7c5-4099-a38f-ad80b034cc8e | |
| relation.isAuthorOfPublication.latestForDiscovery | 7b872afc-f7c5-4099-a38f-ad80b034cc8e |
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