Moore's Conjecture for connected sums
Moore's Conjecture for connected sums
We show that under mild conditions the connected sum M#N of simply-connected, closed, orientable n-dimensional Poincare Duality complexes M and N is hyperbolic and has no homotopy exponent at all but finitely many primes, verifying a weak version of Moore’s Conjecture. This is derived from an elementary framework involving CW-complexes satisfying certain conditions.
Moore's Conjecture, homotopy exponent, connected sum
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
(2023)
Moore's Conjecture for connected sums.
Canadian Mathematical Bulletin.
(In Press)
Abstract
We show that under mild conditions the connected sum M#N of simply-connected, closed, orientable n-dimensional Poincare Duality complexes M and N is hyperbolic and has no homotopy exponent at all but finitely many primes, verifying a weak version of Moore’s Conjecture. This is derived from an elementary framework involving CW-complexes satisfying certain conditions.
Text
MC for conn sum
- Accepted Manuscript
More information
Accepted/In Press date: 19 November 2023
Keywords:
Moore's Conjecture, homotopy exponent, connected sum
Identifiers
Local EPrints ID: 484894
URI: http://eprints.soton.ac.uk/id/eprint/484894
ISSN: 0008-4395
PURE UUID: 43c3b10b-fc89-4fd5-b8ba-c7f2f9280de8
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Date deposited: 24 Nov 2023 17:30
Last modified: 18 Mar 2024 03:24
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