SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS-Reference-Cited by-同舟云学术

SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS

Published:2019 Issue: Volume:7 Page:
ISSN:2050-5094
Container-title:Forum of Mathematics, Sigma
language:en
Short-container-title:Forum of Mathematics, Sigma

Author:

LEVINE ADAM SIMON,LIDMAN TYE

Abstract

We construct infinitely many compact, smooth 4-manifolds which are homotopy equivalent to

$S^{2}$

but do not admit a spine (that is, a piecewise linear embedding of

$S^{2}$

that realizes the homotopy equivalence). This is the remaining case in the existence problem for codimension-2 spines in simply connected manifolds. The obstruction comes from the Heegaard Floer

$d$

invariants.

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

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