| eBook ISBN: | 978-1-4704-3558-5 |
| Product Code: | CONM/675.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-3558-5 |
| Product Code: | CONM/675.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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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 mini-courses taught during the workshop: on intersection homology by J.-P. Brasselet, and on non-isolated 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 semi-algebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (Morse-Bott functions) and differential geometry (affine geometry, Gauss-maps, caustics, frontals and non-Euclidean 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.
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Table of Contents
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Articles
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R. Inanç Baykur and Kenta Hayano — Hurwitz equivalence for Lefschetz fibrations and their multisections
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Rosane R. Binotto, Sueli I. R. Costa and M. Carmen Romero Fuster — The curvature Veronese of a $3$-manifold immersed in Euclidean space
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Jean-Paul Brasselet — Introduction to intersection homology with and without sheaves
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D. Dreibelbis — Gauss maps and duality of sphere bundles
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N. Dutertre and J. A. Moya-Pérez — Topological formulas for closed semi-algebraic sets by Euler integration
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Atsufumi Honda — On associate families of spacelike Delaunay surfaces
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S. Ichiki and T. Nishimura — Generalized distance-squared mappings of $\mathbb {R}^{n+1}$ into $\mathbb {R}^{2n+1}$
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Shyuichi Izumiya — Caustics of world hyper-sheets in the Minkowski space-time
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Masayuki Kawashima — On genericity of a linear deformation of an isolated singularity
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J. Martínez-Alfaro, I. S. Meza-Sarmiento and R. Oliveira — Topological classification of simple Morse Bott functions on surfaces
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R. Martins and J. J. Nuño-Ballesteros — The link of a frontal surface singularity
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David B. Massey — Non-isolated hypersurface singularities and Lê cycles
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R. Mendes and J. J. Nuño-Ballesteros — Knots and the topology of singular surfaces in $\mathbb {R}^4$
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Aldicio José Miranda and Marcelo José Saia — A presentation matrix associated to the discriminant of a co-rank one map-germ from $\mathbb {C}^n$ to $\mathbb {C}^n$
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M. G. Monera and E. Sanabria-Codesal — Critical points of the Gauss map and the exponential tangent map
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Graham Mark Reeve and Farid Tari — Minkowski medial axes and shocks of plane curves
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Osamu Saeki and Takahiro Yamamoto — Cobordism group of Morse functions on surfaces with boundary
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Marcelo J. Saia and Luis F. Sánchez — Affine metric for locally strictly convex manifolds of codimension 2
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Kentaro Saji — Criteria for Morin singularities for maps into lower dimensions, and applications
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Masatomo Takahashi — Legendre curves in the unit spherical bundle over the unit sphere and evolutes
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Additional Material
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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 mini-courses taught during the workshop: on intersection homology by J.-P. Brasselet, and on non-isolated 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 semi-algebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (Morse-Bott functions) and differential geometry (affine geometry, Gauss-maps, caustics, frontals and non-Euclidean 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
-
Jean-Paul Brasselet — Introduction to intersection homology with and without sheaves
-
D. Dreibelbis — Gauss maps and duality of sphere bundles
-
N. Dutertre and J. A. Moya-Pérez — Topological formulas for closed semi-algebraic sets by Euler integration
-
Atsufumi Honda — On associate families of spacelike Delaunay surfaces
-
S. Ichiki and T. Nishimura — Generalized distance-squared mappings of $\mathbb {R}^{n+1}$ into $\mathbb {R}^{2n+1}$
-
Shyuichi Izumiya — Caustics of world hyper-sheets in the Minkowski space-time
-
Masayuki Kawashima — On genericity of a linear deformation of an isolated singularity
-
J. Martínez-Alfaro, I. S. Meza-Sarmiento and R. Oliveira — Topological classification of simple Morse Bott functions on surfaces
-
R. Martins and J. J. Nuño-Ballesteros — The link of a frontal surface singularity
-
David B. Massey — Non-isolated hypersurface singularities and Lê cycles
-
R. Mendes and J. J. Nuño-Ballesteros — 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 co-rank one map-germ from $\mathbb {C}^n$ to $\mathbb {C}^n$
-
M. G. Monera and E. Sanabria-Codesal — 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
