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Campo DC | Valor | idioma |
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dc.contributor.author | Dalmagro, Fermín | - |
dc.date.accessioned | 2023-04-10T07:29:56Z | - |
dc.date.available | 2023-04-10T07:29:56Z | - |
dc.date.issued | 2004 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/17206 | - |
dc.description.abstract | The Intersection Cohomology with differential forms defined on stratified pseudomanifolds, introduced by Brasselet Hector and Saralegi; uses the unfolding given by Verona as an auxiliary tool. Broadly speaking, an unfolding over a stratified pseudomanifold X is a smooth manifold ̃X together with a continuous surjective map ℒₓ : ̃X → X such that the restriction to the regular part ℒₓ : ℒ¯¹(X − Σ) → X − Σ is a finite trivial covering, and for each singular stratum S the restriction ℒₓ : ℒ¯¹(S) → S is a smooth fiber bundle with fiber ̃LS ×ℝ where ̃Lₛ is the unfolding of the link Lₛ of the stratum S. The recursive method employed here turns this construction more difficult when the length of X is ≥ 1. In this work we introduce a class 𝔊 of G-transverse Thom-Mather stratified pseudomanifolds. An object of 𝔊 is an unfoldable stratified pseudomanifold X with arbitrary length, endowed with the action of a compact Lie group G such that the stratification of X is a refinement of the partition by orbit types (namely, the isotropy groups are con- stant over each stratum) and where the local conical structure is given by a slice of the action. Besides, we ask the stratification of X to be Thom-Mather compatible with the action, so there are equivariant tubular neighborhoods over the singular strata and these tubes are locally transverse to the action. A fundamental property is that for any object X ∈ 𝔊 and K ⊂ G a closed subgroup, the quotient space X/K is a G/K-transverse Thom-Mather stratified pseudomanifold, the quotient stratification being induced by the natural projection map. Since each smooth G-manifold is an object in 𝔊, this fact provides a rich source of examples of unfoldable stratified pseudomanifolds wich can be obtained starting on a smooth manifold | es_ES |
dc.format.extent | 23 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Cohomología de intersección | es_ES |
dc.subject | Pseudovariedades simples | es_ES |
dc.subject | Intersection Cohomology | es_ES |
dc.subject | Simple pseudomanifolds | es_ES |
dc.title | Equivariant unfoldings of G-stratified pseudomanifolds | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1210.02 Cohomología | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Dalmagro, F. (2004). Equivariant unfoldings of G-stratified pseudomanifolds. Extracta Mathematicae, 19 (3), 289-311. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Universidad Central de Venezuela | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 3 | es_ES |
dc.identifier.publicationfirstpage | 289 | es_ES |
dc.identifier.publicationlastpage | 311 | es_ES |
dc.identifier.publicationvolume | 19 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 19, nº 3 (2004) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_19_3_289.pdf | 222,51 kB | Adobe PDF | Descargar | |
2605-5686_19_3_289_Abstract.pdf | 91,77 kB | Adobe PDF | Descargar |
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