eBook ISBN:  9781470435585 
Product Code:  CONM/675.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470435585 
Product Code:  CONM/675.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 675; 2016; 355 ppMSC: Primary 58; 32; 53; 57; 14; 37
This volume is a collection of papers presented at the XIII International Workshop on Real and Complex Singularities, held from July 27–August 8, 2014, in São Carlos, Brazil, in honor of María del Carmen Romero Fuster's 60th birthday.
The volume contains the notes from two minicourses taught during the workshop: on intersection homology by J.P. Brasselet, and on nonisolated hypersurface singularities and Lê cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of singularity theory (including classification theory and invariants) to topology of singular spaces (links of singularities and semialgebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (MorseBott functions) and differential geometry (affine geometry, Gaussmaps, caustics, frontals and nonEuclidean geometries).
This book is published in cooperation with Real Sociedád Matematica Española.ReadershipGraduate students and research mathematicians interested in singularities in differential geometry, topology, and algebraic geometry.

Table of Contents

Articles

R. Inanç Baykur and Kenta Hayano — Hurwitz equivalence for Lefschetz fibrations and their multisections

Rosane R. Binotto, Sueli I. R. Costa and M. Carmen Romero Fuster — The curvature Veronese of a $3$manifold immersed in Euclidean space

JeanPaul Brasselet — Introduction to intersection homology with and without sheaves

D. Dreibelbis — Gauss maps and duality of sphere bundles

N. Dutertre and J. A. MoyaPérez — Topological formulas for closed semialgebraic sets by Euler integration

Atsufumi Honda — On associate families of spacelike Delaunay surfaces

S. Ichiki and T. Nishimura — Generalized distancesquared mappings of $\mathbb {R}^{n+1}$ into $\mathbb {R}^{2n+1}$

Shyuichi Izumiya — Caustics of world hypersheets in the Minkowski spacetime

Masayuki Kawashima — On genericity of a linear deformation of an isolated singularity

J. MartínezAlfaro, I. S. MezaSarmiento and R. Oliveira — Topological classification of simple Morse Bott functions on surfaces

R. Martins and J. J. NuñoBallesteros — The link of a frontal surface singularity

David B. Massey — Nonisolated hypersurface singularities and Lê cycles

R. Mendes and J. J. NuñoBallesteros — Knots and the topology of singular surfaces in $\mathbb {R}^4$

Aldicio José Miranda and Marcelo José Saia — A presentation matrix associated to the discriminant of a corank one mapgerm from $\mathbb {C}^n$ to $\mathbb {C}^n$

M. G. Monera and E. SanabriaCodesal — Critical points of the Gauss map and the exponential tangent map

Graham Mark Reeve and Farid Tari — Minkowski medial axes and shocks of plane curves

Osamu Saeki and Takahiro Yamamoto — Cobordism group of Morse functions on surfaces with boundary

Marcelo J. Saia and Luis F. Sánchez — Affine metric for locally strictly convex manifolds of codimension 2

Kentaro Saji — Criteria for Morin singularities for maps into lower dimensions, and applications

Masatomo Takahashi — Legendre curves in the unit spherical bundle over the unit sphere and evolutes


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This volume is a collection of papers presented at the XIII International Workshop on Real and Complex Singularities, held from July 27–August 8, 2014, in São Carlos, Brazil, in honor of María del Carmen Romero Fuster's 60th birthday.
The volume contains the notes from two minicourses taught during the workshop: on intersection homology by J.P. Brasselet, and on nonisolated hypersurface singularities and Lê cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of singularity theory (including classification theory and invariants) to topology of singular spaces (links of singularities and semialgebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (MorseBott functions) and differential geometry (affine geometry, Gaussmaps, caustics, frontals and nonEuclidean geometries).
Graduate students and research mathematicians interested in singularities in differential geometry, topology, and algebraic geometry.

Articles

R. Inanç Baykur and Kenta Hayano — Hurwitz equivalence for Lefschetz fibrations and their multisections

Rosane R. Binotto, Sueli I. R. Costa and M. Carmen Romero Fuster — The curvature Veronese of a $3$manifold immersed in Euclidean space

JeanPaul Brasselet — Introduction to intersection homology with and without sheaves

D. Dreibelbis — Gauss maps and duality of sphere bundles

N. Dutertre and J. A. MoyaPérez — Topological formulas for closed semialgebraic sets by Euler integration

Atsufumi Honda — On associate families of spacelike Delaunay surfaces

S. Ichiki and T. Nishimura — Generalized distancesquared mappings of $\mathbb {R}^{n+1}$ into $\mathbb {R}^{2n+1}$

Shyuichi Izumiya — Caustics of world hypersheets in the Minkowski spacetime

Masayuki Kawashima — On genericity of a linear deformation of an isolated singularity

J. MartínezAlfaro, I. S. MezaSarmiento and R. Oliveira — Topological classification of simple Morse Bott functions on surfaces

R. Martins and J. J. NuñoBallesteros — The link of a frontal surface singularity

David B. Massey — Nonisolated hypersurface singularities and Lê cycles

R. Mendes and J. J. NuñoBallesteros — Knots and the topology of singular surfaces in $\mathbb {R}^4$

Aldicio José Miranda and Marcelo José Saia — A presentation matrix associated to the discriminant of a corank one mapgerm from $\mathbb {C}^n$ to $\mathbb {C}^n$

M. G. Monera and E. SanabriaCodesal — Critical points of the Gauss map and the exponential tangent map

Graham Mark Reeve and Farid Tari — Minkowski medial axes and shocks of plane curves

Osamu Saeki and Takahiro Yamamoto — Cobordism group of Morse functions on surfaces with boundary

Marcelo J. Saia and Luis F. Sánchez — Affine metric for locally strictly convex manifolds of codimension 2

Kentaro Saji — Criteria for Morin singularities for maps into lower dimensions, and applications

Masatomo Takahashi — Legendre curves in the unit spherical bundle over the unit sphere and evolutes