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Abstract
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We establish an inequality which gives strong restrictions on when the
standard definite plumbing intersection lattice of a Seifert fibered space over
can embed
into a standard diagonal lattice, and give two applications. First, we answer a question of
Neumann and Zagier on the relationship between Donaldson’s theorem and Fintushel–Stern’s
-invariant. We also
give a short proof of the characterization of Seifert fibered spaces which smoothly bound rational
homology
’s.
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Keywords
Seifert fibered spaces, Donaldson's theorem, lattices,
definite 4-manifolds
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Mathematical Subject Classification 2010
Primary: 57M27
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Milestones
Received: 29 August 2018
Revised: 20 August 2019
Accepted: 20 August 2019
Published: 12 February 2020
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