Exploring inscribed and circumscribed polygons through geometry and billiard systems.
― 5 min read
Mathematics - Symplectic Geometry
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This study examines ergodic behavior in modified flows on unique surfaces.
― 7 min read
Exploring vector fields in irregular spaces and their real-world impacts.
― 5 min read
This study connects Floer cohomology and indicator functions within symplectic manifolds.
― 5 min read
An overview of contact manifolds and their essential properties in topology.
― 5 min read
Study of contact geometry in energy dissipation across various fields.
― 6 min read
Explore the unique properties of Legendrian knots and their mathematical significance.
― 4 min read
A look into the world of plane curves and their unique points.
― 6 min read
Exploring the connections between Lagrangian fillings and Legendrian links in modern mathematics.
― 3 min read
An overview of Lagrangian submanifolds and their role in symplectic geometry.
― 6 min read
A look into Fredholm conditions and pseudodifferential operators in mathematics and physics.
― 6 min read
Examining how symplectic geometry helps design spacecraft orbits for missions.
― 5 min read
Exploring the geometric properties of Lagrangian fillings and their applications in various fields.
― 4 min read
A look at coisotropic reduction and its significance in dynamical systems.
― 5 min read
An overview of Lagrangian cobordism and its significance in symplectic geometry.
― 5 min read
Explore the connections and distances between Lagrangian submanifolds in symplectic geometry.
― 5 min read
An overview of conformal points and their significance in mathematics and geometry.
― 4 min read
A new method improves speed for creating random equilateral polygons.
― 5 min read
A simpler view of higher-dimensional topology and its algebraic connections.
― 5 min read
A look into the intricacies of symplectic Clifford analysis, its methods, and applications.
― 4 min read
This article examines the impact of non-toric blowups on toric surfaces and their geometric implications.
― 5 min read
An overview of contact geometry, highlighting its structures and practical implications.
― 5 min read
A look at stable maps and their significance in geometry.
― 5 min read
Learn about contact forms, their properties, and how they relate to manifolds.
― 6 min read
A look into the key concepts of symplectic geometry and its applications.
― 4 min read
A look into hyperbolic surfaces and their applications in mathematics and physics.
― 4 min read
Learn about coisotropic submanifolds and their significance in contact geometry.
― 5 min read
A look into shapes that impact physics and engineering.
― 4 min read
A look into the relationships and structures within Legendrian contact homology.
― 6 min read
Exploring the connection between curved Fukaya algebras and their geometric implications.
― 5 min read
A look into Hamiltonian actions and the role of singular points.
― 5 min read
A look into associative submanifolds and their role in geometric spaces.
― 5 min read
Explore the fundamental aspects and applications of contact geometry in mathematics and physics.
― 5 min read
An examination of manifolds exhibiting Hamiltonian properties and positive monotonicity.
― 6 min read
Exploring the significance of contact forms and systolic geometry in mathematics.
― 7 min read
A deep dive into the interplay of geometry and algebra through advanced concepts.
― 3 min read
Examining the relationships between symplectic structures and their singularities.
― 7 min read
Exploring the properties and applications of symplectic forms in four-dimensional geometry.
― 6 min read
A look into symplectic geometry's role in magnetic billiards and shape capacities.
― 5 min read
A look into the dynamics of Legendrian links and their fillings.
― 5 min read
This article explains the fragmentation property of Hamiltonian diffeomorphisms in mathematics.
― 5 min read