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引用次数: 0
摘要
摘要 我们展示了一个 F 型群，它的第二同调包含一个弱有界类，但不是有界类。作为一个应用，我们推翻了格罗莫夫关于闭流形普盖上微分形式有界基元的一个长期猜想。
Weakly Bounded Cohomology Classes and a Counterexample to a Conjecture of Gromov
Abstract
We exhibit a group of type F whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds.
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Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis.
GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016.
Publishes major results on topics in geometry and analysis.
Features papers which make connections between relevant fields and their applications to other areas.
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