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Milnor fiber boundary of a non-isolated surface singularity

Author: András Némethi; Ágnes Szilárd
Publisher: Berlin [u.a.] : Springer, 2012.
Series: Lecture notes in mathematics <Berlin>, 2037.
Edition/Format:   Print book : EnglishView all editions and formats
Publication:Milnor Fiber Boundary of a Non-isolated Surface Singularity.
Summary:

We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS. Moreover, the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: András Némethi; Ágnes Szilárd
ISBN: 9783642236464 3642236464
OCLC Number: 773881321
In: Némethi, András
Notes: Literaturverz. S. 231 - 236.
Description: XII, 240 S. : graph. Darst. ; 24 cm.
Contents: 1 Introduction.- 2 The topology of a hypersurface germ f in three variables Milnor fiber.- 3 The topology of a pair (f ; g).- 4 Plumbing graphs and oriented plumbed 3-manifolds.- 5 Cyclic coverings of graphs.- 6 The graph GC of a pair (f ; g). The definition.- 7 The graph GC . Properties.- 8 Examples. Homogeneous singularities.- 9 Examples. Families associated with plane curve singularities.- 10 The Main Algorithm.- 11 Proof of the Main Algorithm.- 12 The Collapsing Main Algorithm.- 13 Vertical/horizontal monodromies.- 14 The algebraic monodromy of H1( F). Starting point.- 15 The ranks of H1( F) and H1( F nVg) via plumbing.- 16 The characteristic polynomial of F via P# and P#.- 18 The mixed Hodge structure of H1( F).- 19 Homogeneous singularities.- 20 Cylinders of plane curve singularities: f = f 0(x;y).- 21 Germs f of type z f 0(x;y).- 22 The T;;-family.- 23 Germs f of type ~ f (xayb; z). Suspensions.- 24 Peculiar structures on F. Topics for future research.- 25 List of examples.- 26 List of notations
Series Title: Lecture notes in mathematics <Berlin>, 2037.
Responsibility: András Némethi ; Ágnes Szilárd.
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From the reviews:"The aim of this book is to study the topological types of the oriented smooth 3-manifolds appearing as boundaries â F of the Milnor fibers of complex surface singularities of Read more...

 
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