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New constructions and invariants of closed exotic 4-manifolds

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arxiv 2307.08130 v1 pith:HYIADEFR submitted 2023-07-16 math.GT

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keywords exoticmanifoldsclosedinvariantsconstructionsdistinctalexanderarticle
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abstract

In this article, we give new means of constructing and distinguishing closed exotic four-manifolds. Using Heegaard Floer homology, we define new closed four-manifold invariants that are distinct from the Seiberg--Witten and Bauer--Furuta invariants and can remain distinct in covers. Our constructions include exotic definite manifolds with fundamental group $\mathbb Z/2$, infinite families of exotic manifolds that are related by knot surgeries on Alexander polynomial 1 knots, and exotic manifolds that contain square-zero spheres.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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