Results 1 to 10 of about 2,631,518 (164)
Milnor number equals Tjurina number for functions on space curves [PDF]
Journal of the London Mathematical Society, 2001 The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
Mond, D. (David), Straten, Duco van
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Linking number and Milnor invariants
, 2018 This is a concise overview of the definitions and properties of the linking number and its higher-order generalization, Milnor invariants.Comment: 7 pages.
Meilhan, Jean-Baptiste
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TOPOLOGICAL INVARIANTS AND MILNOR FIBRE FOR \(\mathcal{A}\)-FINITE GERMS \(C^2\) to \(C^3\)
Tạp chí Khoa học Đại học Đà Lạt, 2022 This note is the observation that a simple combination of known results shows that the usual analytic invariants of a finitely determined multi-germ \(f : (C^2 , S) → (C^3 , 0) \)—namely, the image Milnor number , the number of cross-caps and triple ...
Javier Fernández De Bobadilla +2 more
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The Image Milnor Number And Excellent Unfoldings [PDF]
The Quarterly Journal of Mathematics, 2021 Abstract We show three basic properties of the image Milnor number µI(f) of a germ $f\colon(\mathbb{C}^{n},S)\rightarrow(\mathbb{C}^{n+1},0)$ with isolated instability. First, we show the conservation of the image Milnor number, from which one can deduce the upper semi-continuity and the topological invariance for families.
Conejero, R. Giménez +1 more
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Limit spectral distribution for non-degenerate hypersurface singularities
Comptes Rendus. Mathématique, 2022 We establish Kyoji Saito’s continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito’s notion of dominant value in the case of irreducible plane curve singularities, we find that the log ...
Almirón, Patricio, Schulze, Mathias
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VARIATIONS OF MILNOR’S TRIPLE LINKING NUMBER
JP Journal of Geometry and Topology, 2022 Topological polymers have various topological types, and they are expressed by graphs. However, the Jones polynomial, we have a difficulty to compute it; computational time is growing exponentially with respect to the crossing number. The simplest Vassiliev invariant is the linking number and thus we will seek a next simple one is as the Milnor's ...
Intawong, Kamolphat, Ito, Noboru
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Milnor numbers and Euler obstruction* [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2005 We determine the relation between the local Euler obstruction $Eu_f$ of a holomorphic function $f$ and different generalizations of the Milnor number for functions on singular spaces.
Seade, Jose +2 more
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TJURINA AND MILNOR NUMBERS OF MATRIX SINGULARITIES [PDF]
Journal of the London Mathematical Society, 2005 LaTeX file; 23 pages; minor ...
Goryunov, Victor V., Mond, D. (David)
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Milnor Number of Weighted-Le-Yomdin Singularities [PDF]
International Mathematics Research Notices, 2010 At the beginning of the seventies, O. Zariski proposed several problems related with the (embedded) topology of a germ of a n-dimensional hypersurface singularity defined by the zero locus of a germ of a complex analytic function. The second one was roughly stated as "if two analytic hypersurface germs are topologically equivalent then their tangent ...
E. A. Bartolo +3 more
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On the indeterminacy of Milnor’s triple linking number [PDF]
Journal of Knot Theory and Its Ramifications, 2020 In the 1950s Milnor defined a family of higher-order invariants generalizing the linking number. Even the first of these new invariants, the triple linking number, has received fruitful study since its inception. In the case that a link [Formula: see text] has vanishing pairwise linking numbers, this triple linking number gives an integer-valued ...
Jonah Amundsen +2 more
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