Homology spheres with $E_8$-fillings and arbitrarily large correction terms

Motoo Tange

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arXiv · 1811.11831

Homology spheres with $E_8$-fillings and arbitrarily large correction terms

Motoo Tange

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Abstract

In this paper we construct families of homology spheres which bound 4-manifolds with intersection forms isomorphic to $-E_8$. We show that these families have arbitrary large correction terms. This result says that among homology spheres, the difference of the maximal rank of minimal sub-lattice of definite filling and the maximal rank of even definite filling is arbitrarily large.

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Motoo Tange. 2018-11-28. Homology spheres with $E_8$-fillings and arbitrarily large correction terms. https://arxiv.org/abs/1811.11831

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