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Product Code:  ADVSOV/21 
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Hardcover ISBN:  9780821802373 
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Product Code:  ADVSOV/21.B 
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Hardcover ISBN:  9780821802373 
Product Code:  ADVSOV/21 
List Price:  $136.00 
MAA Member Price:  $122.40 
AMS Member Price:  $108.80 
eBook ISBN:  9781470446192 
Product Code:  ADVSOV/21.E 
List Price:  $136.00 
MAA Member Price:  $122.40 
AMS Member Price:  $108.80 
Hardcover ISBN:  9780821802373 
eBook ISBN:  9781470446192 
Product Code:  ADVSOV/21.B 
List Price:  $272.00$204.00 
MAA Member Price:  $244.80$183.60 
AMS Member Price:  $217.60$163.20 

Book DetailsAdvances in Soviet MathematicsVolume: 21; 1994; 262 ppMSC: Primary 57; 58; Secondary 14;
This book contains papers growing out of recent work of the Singularity Seminar at Moscow State University. The main topic of most of the papers is the analysis of singularities of discriminant hypersurfaces formed by the degenerate objects in different spaces of mappings. Among the topics covered are: the space of mappings of the circle to threespace; invariants, bifurcations, and classifications of plane curves; algebraic invariants of the Morse complex; complex boundary singularities; spaces of morsifications of singularities; and the number of singular points on a complex projective hypersurface.
ReadershipUndergraduate students in mathematics, active researchers, physicists specializing in quantum field theory.

Table of Contents

Articles

F. Aicardi  Treelike curves

V. I. Arnold  Plane curves, their invariants, Perestroikas, and classifications

S. A. Barannikov  The framed Morse complex and its invariants

S. V. Chmutov, S. V. Duzhin and S. K. Lando  Vassiliev knot invariants. I: Introduction

S. V. Chmutov, S. V. Duzhin and S. K. Lando  Vassiliev Knot invariants. II: Intersection graph conjecture for trees

S. V. Chmutov, S. V. Duzhin and S. K. Lando  Vassiliev knot invariants. III: Forest algebra and weighted graphs

Victor V. Goryunov  Symmetric quartics with many nodes

Victor V. Goryunov  Subprincipal Springer cones and Morsifications of Laurent polynomials and $D_{\mu }$ singularities

S. M. GuseinZade  On the enumeration of curves from infinity to infinity

Alexander B. Merkov  On the classification of ornaments

I. Shcherbak and A. Szpirglas  Boundary singularities: Topology and duality

Victor A. Vassiliev  Invariants of ornaments


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This book contains papers growing out of recent work of the Singularity Seminar at Moscow State University. The main topic of most of the papers is the analysis of singularities of discriminant hypersurfaces formed by the degenerate objects in different spaces of mappings. Among the topics covered are: the space of mappings of the circle to threespace; invariants, bifurcations, and classifications of plane curves; algebraic invariants of the Morse complex; complex boundary singularities; spaces of morsifications of singularities; and the number of singular points on a complex projective hypersurface.
Undergraduate students in mathematics, active researchers, physicists specializing in quantum field theory.

Articles

F. Aicardi  Treelike curves

V. I. Arnold  Plane curves, their invariants, Perestroikas, and classifications

S. A. Barannikov  The framed Morse complex and its invariants

S. V. Chmutov, S. V. Duzhin and S. K. Lando  Vassiliev knot invariants. I: Introduction

S. V. Chmutov, S. V. Duzhin and S. K. Lando  Vassiliev Knot invariants. II: Intersection graph conjecture for trees

S. V. Chmutov, S. V. Duzhin and S. K. Lando  Vassiliev knot invariants. III: Forest algebra and weighted graphs

Victor V. Goryunov  Symmetric quartics with many nodes

Victor V. Goryunov  Subprincipal Springer cones and Morsifications of Laurent polynomials and $D_{\mu }$ singularities

S. M. GuseinZade  On the enumeration of curves from infinity to infinity

Alexander B. Merkov  On the classification of ornaments

I. Shcherbak and A. Szpirglas  Boundary singularities: Topology and duality

Victor A. Vassiliev  Invariants of ornaments