dc.contributor.author | Haus, Knut Bjarte | |
dc.contributor.author | Quick, Gereon | |
dc.date.accessioned | 2024-04-11T08:00:48Z | |
dc.date.available | 2024-04-11T08:00:48Z | |
dc.date.created | 2024-04-02T12:32:15Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Documenta Mathematica. 2024, 29 (2), 457-509. | en_US |
dc.identifier.issn | 1431-0635 | |
dc.identifier.uri | https://hdl.handle.net/11250/3125976 | |
dc.description.abstract | We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significantly improves previous results on such transfer maps and is a much stronger result than the ones known for differential cobordism of smooth manifolds. This enables us to define and provide a concrete geometric description of Hodge filtered fundamental classes for all proper holomorphic maps. Moreover, we give a geometric description of a cobordism analog of the Abel–Jacobi invariant for nullbordant maps which is mapped to the classical invariant under the Hodge filtered Thom morphism. For the latter we provide a new construction in terms of geometric cycles. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Deutsche Mathematiker-Vereinigung | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Geometric pushforward in Hodge filtered complex cobordism and secondary invariants | en_US |
dc.title.alternative | Geometric pushforward in Hodge filtered complex cobordism and secondary invariants | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 457-509 | en_US |
dc.source.volume | 29 | en_US |
dc.source.journal | Documenta Mathematica | en_US |
dc.source.issue | 2 | en_US |
dc.identifier.doi | 10.4171/dm/951 | |
dc.identifier.cristin | 2258040 | |
dc.relation.project | Norges forskningsråd: 313472 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |