4 papers
Topological line arrangements and their topological invariants
Sakumi Sugawara
A topological line arrangement is an arrangement of embedded spheres in the complex projective plane that topologically generalizes a complex line arrangement. In this paper, we es…
Even torsions in the homology group of the Milnor fiber boundary of hyperplane arrangements in
Sakumi Sugawara
We study the homology group of the Milnor fiber boundary of a hyperplane arrangement in . By the work of Némethi--Szilárd, the homeomorphism type of the Milnor fibe…
The cohomology ring of the boundary manifold of a combinatorial line arrangement
Sakumi Sugawara
We compute the integral cohomology rings of the associated -manifold called the \textit{boundary manifold} for a combinatorial line arrangement, and prove that it is isomorphic…
Divides with cusps and Kirby diagrams for line arrangements
Sakumi Sugawara, Masahiko Yoshinaga
The complement of a complexified real line arrangement is an affine surface. It is classically known that such a space has a handle decomposition up to -handles. We will describ…