On the boundaries of highly connected, almost closed manifolds

2023/01/01 by Robert Burklund, Jeremy Hahn, Andrew Senger · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Algebraic Geometry and Number Theory

paper · pdf · doi:10.4310/acta.2023.v231.n2.a1

Abstract

on the boundaries of highly connected, almost closed manifolds 213 freely use the language of ∞-categories as set out in [61], [62].In particular, all limits and colimits are taken in the homotopy invariant sense of [61]. AcknowledgmentsWe thank Manuel Krannich for giving an inspiring lecture in the MIT Topology Seminar in March 2019, as well as for comments on a draft of the paper.It is because of Manuel's encouragement that we became aware of, and began to work on, the problems we solve here.We thank Mike Hopkins for conversations regarding the Toda bracket manipulations of §6.

Citations

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