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Equivariant classification of bm-symplectic surfaces and Nambu structures
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Planas, Arnau |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-05-03T11:16:26Z |
dc.date.available | 2019-05-03T11:16:26Z |
dc.date.issued | 2016 |
dc.identifier.citation | Miranda, E.; Planas, A. "Equivariant classification of bm-symplectic surfaces and Nambu structures". 2016. |
dc.identifier.uri | http://hdl.handle.net/2117/132603 |
dc.description.abstract | In this paper we extend the classification scheme in [S] for bm-symplectic surfaces, and more generally, bm-Nambu structures to the equivariant setting. When the compact group is the group of deck-transformations of an orientable covering, this yields the classification of these objects in non-orientable manifolds. The paper also includes recipes to construct bm-symplectic structures on surfaces. Feasibility of such constructions depends on orientability and on the colorability of an associated graph. We recast the strategy used in [MT] to classify stable Nambu structures of top degree on orientable manifolds to classify bm-Nambu structures (not necessarily oriented) using the language of bm-cohomology. The paper ends up with an equivariant classification theorem of bm-Nambu structures of top degree. |
dc.format.extent | 19 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia |
dc.subject.lcsh | Algebraic topology |
dc.title | Equivariant classification of bm-symplectic surfaces and Nambu structures |
dc.type | External research report |
dc.subject.lemac | Topologia algebraica |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.relation.publisherversion | https://arxiv.org/abs/1607.01748 |
dc.rights.access | Open Access |
local.identifier.drac | 18764297 |
dc.description.version | Preprint |
local.citation.author | Miranda, E.; Planas, A. |
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