A handle decomposition of the milnor fibre

1995 ◽  
pp. 37-41
Author(s):  
David B. Massey
Keyword(s):  
Milnor Fibre

scholarly journals The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on~$\C^3$

2009 ◽  
Vol 16 (6) ◽  
pp. 1037-1055 ◽  
Author(s):  
Alexandru Dimca ◽  
Balázs Szendröi
Keyword(s):  
Hilbert Scheme ◽  
Milnor Fibre

scholarly journals Motivic Milnor fibre of cyclic L ∞-algebras

2017 ◽  
Vol 33 (7) ◽  
pp. 933-950 ◽  
Author(s):  
Yun Feng Jiang
Keyword(s):  
Milnor Fibre

scholarly journals The Orlik–Solomon complex and Milnor fibre homology

2002 ◽  
Vol 118 (1-2) ◽  
pp. 45-63 ◽  
Author(s):  
Graham Denham
Keyword(s):  
Milnor Fibre

scholarly journals Topological invariants of germs of real analytic functions

1997 ◽  
Vol 39 (1) ◽  
pp. 85-89 ◽  
Author(s):  
Piotr Dudziński
Keyword(s):  
Real Analytic Function ◽  
Topological Invariant ◽  
Topological Invariants ◽  
Isolated Singularity ◽  
Simple Consequence ◽  
Milnor Fibre ◽  
Real Analytic Functions ◽  
Nonisolated Singularity ◽  
Real Analytic ◽  
Weighted Homogeneous Polynomial

Let f: (ℝn, 0)→ (ℝ,0) be a germ of a real analytic function. Let L and F(f) denote the link of f and the Milnor fibre of fc respectively, i. e., L = {x ∈ Sn−1 | f(x) = 0}, , where 0 ≤ ξ ≪ r ≪ 1, . In [2] Szafraniec introduced the notion of an -germ as a generalization of a germ defined by a weighted homogeneous polynomial satisfying some condition concerning the relation between its degree and weights (definition 1). He also proved that if f is an -germ (presumably with nonisolated singularity) then the number χ(F(f)/d mod 2 is a topological invariant of f, where χ(F(f)) is the Euler characterististic of F(f), and gave the formula for χ(L)/2 mod 2 (it is a well-known fact that F(L) is an even number). As a simple consequence he got the fact that χ(F(f)mod 2 is a topological invariant for any f, which is a generalization of Wall's result [3] (he considered only germs with an isolated singularity).

On the mixed Hodge structure on the cohomology of the Milnor fibre

1985 ◽  
Vol 271 (4) ◽  
pp. 641-665 ◽  
Author(s):  
J. Scherk ◽  
J. H. M. Steenbrink
Keyword(s):  
Hodge Structure ◽  
Mixed Hodge Structure ◽  
Milnor Fibre

On the Milnor fibre and Lê numbers of semi-weighted homogeneous arrangements

2012 ◽  
Vol 43 (4) ◽  
pp. 615-636 ◽  
Author(s):  
Michelle F. Z. Morgado ◽  
Marcelo J. Saia
Keyword(s):  
Milnor Fibre
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