منابع مشابه
Non-formality of Milnor Fibers of Line Arrangements
The complement M of a complex line arrangement A in P(C) is formal, and admits a finite cover F → M , where F is the associated global Milnor fiber. An example where F is not formal (not even 1-formal), is given in this article.
متن کاملArrangements, Milnor Fibers and Polar Curves
1. The main results Let A be a hyperplane arrangement in the complex projective space P n , with n > 0.
متن کاملMorse theory, Milnor fibers and hyperplane arrangements
Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of any complex hyperplane arrangement has the homotopy type of a CW complex in which the number of p-cells equals the p-th betti number.
متن کاملTorsion in the homology of Milnor fibers of hyperplane arrangements
As is well-known, the homology groups of the complement of a complex hyperplane arrangement are torsion-free. Nevertheless, as we showed in a recent paper [2], the homology groups of the Milnor fiber of such an arrangement can have non-trivial integer torsion. We give here a brief account of the techniques that go into proving this result, outline some of its applications, and indicate some fur...
متن کاملMorse Theory, Milnor Fibers and Minimality of Hyperplane Arrangements
Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of any complex hyperplane arrangement has the homotopy type of a CW-complex in which the number of p-cells equals the p-th betti number. Combining this result with recent work of Papadima and Suciu, one obtains a characterization of when ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Singularities
سال: 2013
ISSN: 1949-2006
DOI: 10.5427/jsing.2013.7l