0000000000294347

AUTHOR

R. Wik Atique

showing 2 related works from this author

New techniques for classification of multigerms

2018

Abstract The goal of these notes is to give an overview of the state of the art in classification of multigerms. We have tried to make them self-contained but certainly not extensive. The results included here scope most of the research on classification of multigerms carried out in the last 15 years with special emphasis on recent results by the authors of these notes and their collaborators.

Scope (project management)Management science010102 general mathematics0103 physical sciences010307 mathematical physicsGeometry and Topology0101 mathematics01 natural sciencesSINGULARIDADESMathematicsTopology and its Applications
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Topological invariants of stable immersions of oriented 3-manifolds in R4

2012

Abstract We show that the Z -module of first order local Vassiliev type invariants of stable immersions of oriented 3-manifolds into R 4 is generated by 3 topological invariants: The number of pairs of quadruple points and the positive and negative linking invariants l + and l − introduced by V. Goryunov (1997) [7] . We obtain the expression for the Euler characteristic of the immersed 3-manifold in terms of these invariants. We also prove that the total number of connected components of the triple points curve is a non-local Vassiliev type invariant.

Discrete mathematicsConnected componentPure mathematicsFirst order local Vassiliev type invariantsFirst ordersymbols.namesakeEuler characteristicsymbolsTopological invariantsGeometry and TopologyInvariant (mathematics)Stable immersionsSINGULARIDADESMathematicsTopology and its Applications
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