Lecture on Mochizuki’s anabeloids Motivation: Assume k = C, X is a hyperbolic curve over C (smooth of genus g with r deleted points such that 2g − 2 + r > 0. e → X. It is known that X ∼ Consider the universal co

Source URL: www.maths.nottingham.ac.uk

• Algebraic topology
• Algebraic geometry
• Category theory
• Homotopy theory
• Scheme theory
• tale fundamental group
• tale morphism
• Morphism
• Category
• Sheaf
• Functor
• Covering space

Combinatorial Section Conjecture and Pop-Stix.pdf

Source URL: www.kurims.kyoto-u.ac.jp

• Homotopy theory
• Algebraic topology
• Representation theory
• Fundamental group
• Homomorphism
• Covering space
• Orbifold
• Holomorphic functional calculus

High-Dimensional Winding-Augmented Motion Planning with 2D Topological Task Projections and Persistent Homology Florian T. Pokorny, Danica Kragic, Lydia E. Kavraki, Ken Goldberg Abstract— Recent progress in motion plan

Source URL: goldberg.berkeley.edu

• Topology
• Mathematics
• Homotopy theory
• Algebraic topology
• Fundamental group
• Homotopy
• Cohomology
• Topological space
• Winding number
• Homology
• Retract
• Covering space

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The hyperbolic meaning of the Milnor–Wood inequality Daniel V. Mathews Abstract We introduce a notion of the twist of an isometry of the hyperbolic plane. This twist function is defined on the universal covering group

Source URL: www.danielmathews.info

• Geometry
• Mathematics
• Space
• Lemmas
• Lie groups
• Convex analysis
• Convex cone
• Linear algebra
• Differential geometry of surfaces
• Closed and exact differential forms
• Mbius transformation
• Constructible universe

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