Mathematics – Algebraic Topology
Scientific paper
2011-10-04
Mathematics
Algebraic Topology
19 pages, 3 figures
Scientific paper
We use covering space theory and the fundamental group of complements of complexified-real line arrangements to explore the associated Milnor fiber. This work yields a combinatorially determined upper bound on the rank of the first homology group of the Milnor fiber. Under certain combinatorial conditions, we then show that one may determine the exact rank of the group and show that it is torsion free.
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