Homology spheres with $E_8$-fillings and arbitrarily large correction terms. (arXiv:1811.11831v1 [math.GT])

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. 查看全文>>