A vanishing theorem for tautological classes of aspherical manifolds

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Standard

A vanishing theorem for tautological classes of aspherical manifolds. / Hebestreit, Fabian; Land, Markus; Lück, Wolfgang; Randal-Williams, Oscar.

I: Geometry and Topology, Bind 25, Nr. 1, 2021, s. 47-110.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Hebestreit, F, Land, M, Lück, W & Randal-Williams, O 2021, 'A vanishing theorem for tautological classes of aspherical manifolds', Geometry and Topology, bind 25, nr. 1, s. 47-110. https://doi.org/10.2140/gt.2021.25.47

APA

Hebestreit, F., Land, M., Lück, W., & Randal-Williams, O. (2021). A vanishing theorem for tautological classes of aspherical manifolds. Geometry and Topology, 25(1), 47-110. https://doi.org/10.2140/gt.2021.25.47

Vancouver

Hebestreit F, Land M, Lück W, Randal-Williams O. A vanishing theorem for tautological classes of aspherical manifolds. Geometry and Topology. 2021;25(1):47-110. https://doi.org/10.2140/gt.2021.25.47

Author

Hebestreit, Fabian ; Land, Markus ; Lück, Wolfgang ; Randal-Williams, Oscar. / A vanishing theorem for tautological classes of aspherical manifolds. I: Geometry and Topology. 2021 ; Bind 25, Nr. 1. s. 47-110.

Bibtex

@article{8ef96b408a0043cbaec97022c4ca94d1,
title = "A vanishing theorem for tautological classes of aspherical manifolds",
abstract = "Tautological classes, or generalised Miller–Morita–Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational cohomology of classifying spaces of diffeomorphism groups for several types of manifolds. We show that rationally tautological classes depend only on the underlying topological block bundle, and use this to prove the vanishing of tautological classes for many bundles with fibre an aspherical manifold.",
author = "Fabian Hebestreit and Markus Land and Wolfgang L{\"u}ck and Oscar Randal-Williams",
year = "2021",
doi = "10.2140/gt.2021.25.47",
language = "English",
volume = "25",
pages = "47--110",
journal = "Geometry & Topology",
issn = "1465-3060",
publisher = "Geometry & Topology Publications",
number = "1",

}

RIS

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T1 - A vanishing theorem for tautological classes of aspherical manifolds

AU - Hebestreit, Fabian

AU - Land, Markus

AU - Lück, Wolfgang

AU - Randal-Williams, Oscar

PY - 2021

Y1 - 2021

N2 - Tautological classes, or generalised Miller–Morita–Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational cohomology of classifying spaces of diffeomorphism groups for several types of manifolds. We show that rationally tautological classes depend only on the underlying topological block bundle, and use this to prove the vanishing of tautological classes for many bundles with fibre an aspherical manifold.

AB - Tautological classes, or generalised Miller–Morita–Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational cohomology of classifying spaces of diffeomorphism groups for several types of manifolds. We show that rationally tautological classes depend only on the underlying topological block bundle, and use this to prove the vanishing of tautological classes for many bundles with fibre an aspherical manifold.

UR - http://www.scopus.com/inward/record.url?scp=85103020855&partnerID=8YFLogxK

U2 - 10.2140/gt.2021.25.47

DO - 10.2140/gt.2021.25.47

M3 - Journal article

AN - SCOPUS:85103020855

VL - 25

SP - 47

EP - 110

JO - Geometry & Topology

JF - Geometry & Topology

SN - 1465-3060

IS - 1

ER -

ID: 261616746