A note on a topological approach to the $μ$-constant problem in dimension 2

Abstract

We provide an example, which shows that studying homological and homotopical properties of cobordisms between arbitrary, that is not necessarily negative, graph manifolds is not enough to prove the $μ$-constant conjecture of Le Dung Trang in complex dimension 2.

6 pages, to appear in Revista Math. Complutense