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Vladimir Igorevich Arnol’d on wave fronts, tennis balls, and caustics

Link #caustics #plane curves #algebraic geometry #topology #invariants #contact structures #contact topology #wave fronts #waves #curves #points #control #convex #inflection point #point of inflection #southern curve #interpolation #singularities #tennis ball #hemisphere #affine #affine line #affine curve

Vladimir Igorevich Arnol’d on wave fronts, tennis balls, and caustics

Link #caustics #plane curves #algebraic geometry #topology #invariants #contact structures #contact topology #wave fronts #waves #curves #points #control #convex #inflection point #point of inflection #southern curve #interpolation #singularities #tennis ball #hemisphere #affine #affine line #affine curve

Vladimir Igorevich Arnol’d on wave fronts, tennis balls, and caustics

Link #caustics #plane curves #algebraic geometry #topology #invariants #contact structures #contact topology #wave fronts #waves #curves #points #control #convex #inflection point #point of inflection #southern curve #interpolation #singularities #tennis ball #hemisphere #affine #affine line #affine curve

_What is a Lefschetz pencil?_ by Robert Gompf

Link #pencil #algebraic geometry #dehn twist #max dehn #kirby calculus #robion kirby #solomon lefschetz #manifolds #surgery #topology #mathematics #maths #blowing up #blowup #complex projective plane #projective geometry #singularity #singularities #fibrations #genus #surfaces #excision #4manifolds #bundles #monodromy #cylinder #torus

_What is a Lefschetz pencil?_ by Robert Gompf

Link #pencil #algebraic geometry #dehn twist #max dehn #kirby calculus #robion kirby #solomon lefschetz #manifolds #surgery #topology #mathematics #maths #blowing up #blowup #complex projective plane #projective geometry #singularity #singularities #fibrations #genus #surfaces #excision #4manifolds #bundles #monodromy #cylinder #torus

_What is a Lefschetz pencil?_ by Robert Gompf

Link #pencil #algebraic geometry #dehn twist #max dehn #kirby calculus #robion kirby #solomon lefschetz #manifolds #surgery #topology #mathematics #maths #blowing up #blowup #complex projective plane #projective geometry #singularity #singularities #fibrations #genus #surfaces #excision #4manifolds #bundles #monodromy #cylinder #torus

_What is a Lefschetz pencil?_ by Robert Gompf

Link #pencil #algebraic geometry #dehn twist #max dehn #kirby calculus #robion kirby #solomon lefschetz #manifolds #surgery #topology #mathematics #maths #blowing up #blowup #complex projective plane #projective geometry #singularity #singularities #fibrations #genus #surfaces #excision #4manifolds #bundles #monodromy #cylinder #torus