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http://hdl.handle.net/2445/190227
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DC Field | Value | Language |
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dc.contributor.author | Chataur, David | - |
dc.contributor.author | Cirici, Joana | - |
dc.date.accessioned | 2022-10-26T08:04:42Z | - |
dc.date.available | 2022-10-26T08:04:42Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/190227 | - |
dc.description.abstract | ABSTRACT. We describe the $E$-infinity algebra structure on the complex of singular cochains of a topological space, in the context of sheaf theory. As a first application, for any algebraic variety we define a weight filtration compatible with its $E$-infinity structure. This naturally extends the theory of mixed Hodge structures in rational homotopy to $p$-adic homotopy theory. The spectral sequence associated to the weight filtration gives a new family of algebraic invariants of the varieties for any coefficient ring, carrying Steenrod operations. As a second application, we promote Deligne's intersection complex computing intersection cohomology, to a sheaf carrying E-infinity structures. This allows for a natural interpretation of the Steenrod operations defined on the intersection cohomology of any topological pseudomanifold. | - |
dc.format.extent | 36 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1090/tran/8569 | - |
dc.relation.ispartof | Transactions of the American Mathematical Society, 2022, vol. 375, num. 2, p. 925-960 | - |
dc.relation.uri | https://doi.org/10.1090/tran/8569 | - |
dc.rights | cc-by-nc-nd (c) American Mathematical Society (AMS), 2022 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Topologia algebraica | - |
dc.subject.classification | Homologia | - |
dc.subject.classification | Teoria de Hodge | - |
dc.subject.other | Algebraic topology | - |
dc.subject.other | Homology | - |
dc.subject.other | Hodge theory | - |
dc.title | Sheaves of E-infinity algebras and applications to algebraic varieties and singular spaces | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 718709 | - |
dc.date.updated | 2022-10-26T08:04:42Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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718709.pdf | 421.37 kB | Adobe PDF | View/Open |
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