Arrangements of HyperplanesSpringer-Verlag, 1992 - 325页 |
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第205页
... formula is called the LCS ( lower central series ) formula . It connects the ranks of the successive quotients in the lower central series of the fundamental group of M with the Poincaré polynomial of M. It is natural to ask for the ...
... formula is called the LCS ( lower central series ) formula . It connects the ranks of the successive quotients in the lower central series of the fundamental group of M with the Poincaré polynomial of M. It is natural to ask for the ...
第210页
... formula for the Euler characteristic of a covering x ( F ) = nx ( B ) and the calculation of x ( B ) in Lemma 5.122.4 . To prove ( 4 ) , we use Milnor's work [ 155 , pp.76-77 ] . The Weil ( function of the mapping h can be expressed as ...
... formula for the Euler characteristic of a covering x ( F ) = nx ( B ) and the calculation of x ( B ) in Lemma 5.122.4 . To prove ( 4 ) , we use Milnor's work [ 155 , pp.76-77 ] . The Weil ( function of the mapping h can be expressed as ...
第220页
... formula says l - 2 l - 2 Σ ( −1 ) [ H , ( F ) ] = Σ ( −1 ) [ C2 ( F ) ] q = 0 q = 0 where C ( F ) is the group of q - chains of F. From Theorem 4.106 and Proposition 6.12 , we get 1-2 Σ ( −1 ) o [ H , ( F ) ] = [ C ] + ( −1 ) ' [ Br ] ...
... formula says l - 2 l - 2 Σ ( −1 ) [ H , ( F ) ] = Σ ( −1 ) [ C2 ( F ) ] q = 0 q = 0 where C ( F ) is the group of q - chains of F. From Theorem 4.106 and Proposition 6.12 , we get 1-2 Σ ( −1 ) o [ H , ( F ) ] = [ C ] + ( −1 ) ' [ Br ] ...
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常见术语和短语
A₁ affine arrangement algebra A(A arrangement and let arrangements of hyperplanes assume b₁ basic invariants basis for D(A braid arrangement Brieskorn broken circuit central arrangement chain complex cohomology complement complex reflection groups complexification compute construction Corollary Coxeter group defining polynomial Definition deformation retraction denote dependent exact sequence Example exterior algebra fiber finite follows from Lemma follows from Proposition formula free arrangement free with exp graded K-module graph H₁ H₂ homogeneous homology homotopy type hyperplane arrangement hyperplanes inductively free integers irreducible isomorphism K-algebra ker(x l-arrangement lattice Lemma Let G linear linearly independent Math matrix maximal element Möbius function modular elements module nonempty Note Orbits Poincaré polynomial poset Proof prove real arrangement Recall reflection arrangement restriction result Section Shephard groups simplicial space subset subspace supersolvable supersolvable arrangement Suppose surjective topological vertex vertices w₁ write x-independent