<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-29T07:38:37Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/34631" metadataPrefix="oai_dc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/34631</identifier><datestamp>2023-08-11T01:45:00Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Non-formal co-symplectic manifolds</dc:title>
   <dc:creator>Bazzoni, G.</dc:creator>
   <dc:creator>Fernández, Marisa</dc:creator>
   <dc:creator>Muñoz, Vicente</dc:creator>
   <dc:subject>514</dc:subject>
   <dc:subject>Co-symplectic manifold</dc:subject>
   <dc:subject>Mapping torus</dc:subject>
   <dc:subject>Minimal model</dc:subject>
   <dc:subject>Formal manifold.</dc:subject>
   <dc:subject>Geometría</dc:subject>
   <dc:subject>1204 Geometría</dc:subject>
   <dc:description>We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product. As an application we prove that there are non-formal compact co-symplectic manifolds of dimension m and with first Betti number b if and only if m = 3 and b >= 2, or m >= 5 and b >= 1. Explicit examples for each one of these cases are given.</dc:description>
   <dc:description>MICINN (Spain)</dc:description>
   <dc:description>UPV/EHU</dc:description>
   <dc:description>Depto. de Álgebra, Geometría y Topología</dc:description>
   <dc:description>Fac. de Ciencias Matemáticas</dc:description>
   <dc:description>TRUE</dc:description>
   <dc:description>pub</dc:description>
   <dc:date>2023-06-19T14:53:55Z</dc:date>
   <dc:date>2023-06-19T14:53:55Z</dc:date>
   <dc:date>2015</dc:date>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/34631</dc:identifier>
   <dc:identifier>0002-9947</dc:identifier>
   <dc:identifier>10.1090/S0002-9947-2014-06361-7</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>MTM2010-17389</dc:relation>
   <dc:relation>MTM2011-28326-C02-02</dc:relation>
   <dc:relation>UFI11/52</dc:relation>
   <dc:rights>restricted access</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:format>application/pdf</dc:format>
   <dc:publisher>American Mathematical Society</dc:publisher>
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