منابع مشابه
Torsion in Milnor fiber homology
In a recent paper, Dimca and Némethi pose the problem of finding a homogeneous polynomial f such that the homology of the complement of the hypersurface defined by f is torsion-free, but the homology of the Milnor fiber of f has torsion. We prove that this is indeed possible, and show by construction that, for each prime p , there is a polynomial with p-torsion in the homology of the Milnor fib...
متن کاملTorsion in Milnor ber homology
In a recent paper, Dimca and N emethi pose the problem of nding a homogeneous polynomial f such that the homology of the complement of the hypersurface de ned by f is torsion-free, but the homology of the Milnor ber of f has torsion. We prove that this is indeed possible, and show by construction that, for each prime p , there is a polynomial with p-torsion in the homology of the Milnor ber. Th...
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Let ΩX be the space of Moore loops on a finite, qconnected, n-dimensional CW complex X , and let p be an odd prime. We prove the theorem: If p ≥ n/q, then the Hurewicz homomorphism induces isomorphisms U(Fπ∗(ΩX(p))) = −→ FH∗(ΩX(p)) and UE ∞ π (ΩX) = −→ E∞ H (ΩX) of Hopf algebras, where E ∞ π and E ∞ H are the limit terms of the homotopy and homology Bockstein spectral sequences, respectively, a...
متن کاملEuler structures, the variety of representationsand the Milnor--Turaev torsion
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1996
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1996.v3.n5.a8