{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","description":"This cluster of papers explores the intersection of symplectic topology, knot invariants, and related areas such as holomorphic disks, Floer homology, contact geometry, group theory, hyperbolic manifolds, quantum topology, braid groups, and the study of protein knotting.","keywords":[{"id":"https://openalex.org/keywords/knot-theory","display_name":"knot theory","score":0.7764},{"id":"https://openalex.org/keywords/3-manifolds","display_name":"3-manifolds","score":0.7136},{"id":"https://openalex.org/keywords/knot-invariants","display_name":"knot invariants","score":0.8662},{"id":"https://openalex.org/keywords/fundamental-group","display_name":"fundamental group","score":0.4768},{"id":"https://openalex.org/keywords/hyperbolic-3-manifolds","display_name":"hyperbolic 3-manifolds","score":0.8467},{"id":"https://openalex.org/keywords/mapping-class-group","display_name":"mapping class group","score":0.8257},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"hyperbolic geometry","score":0.24},{"id":"https://openalex.org/keywords/braid-groups","display_name":"braid groups","score":0.5913},{"id":"https://openalex.org/keywords/free-groups","display_name":"free groups","score":0.4737},{"id":"https://openalex.org/keywords/symplectic-topology","display_name":"symplectic topology","score":0.6555},{"id":"https://openalex.org/keywords/4-manifolds","display_name":"4-manifolds","score":0.5215},{"id":"https://openalex.org/keywords/geometric-group-theory","display_name":"geometric group theory","score":0.6921},{"id":"https://openalex.org/keywords/knot-concordance","display_name":"knot concordance","score":0.9646},{"id":"https://openalex.org/keywords/teichmuller-space","display_name":"Teichm\u00fcller space","score":0.5523},{"id":"https://openalex.org/keywords/group-presentations","display_name":"group presentations","score":0.259},{"id":"https://openalex.org/keywords/hyperbolic-groups","display_name":"hyperbolic groups","score":0.6833},{"id":"https://openalex.org/keywords/finitely-generated-groups","display_name":"finitely generated groups","score":0.38},{"id":"https://openalex.org/keywords/smooth-manifolds","display_name":"smooth manifolds","score":0.2209},{"id":"https://openalex.org/keywords/jones-polynomial","display_name":"Jones polynomial","score":0.76},{"id":"https://openalex.org/keywords/knots","display_name":"knots","score":0.2831},{"id":"https://openalex.org/keywords/alexander-polynomial","display_name":"Alexander polynomial","score":0.8579},{"id":"https://openalex.org/keywords/links","display_name":"links","score":0.5521},{"id":"https://openalex.org/keywords/3-sphere","display_name":"3-sphere","score":0.4065},{"id":"https://openalex.org/keywords/finitely-presented-groups","display_name":"finitely presented groups","score":0.6145},{"id":"https://openalex.org/keywords/torus-knots","display_name":"torus knots","score":0.6463}],"legacy_keywords":"Symplectic Topology; Knot Invariants; Holomorphic Disks; Floer Homology; Contact Geometry; Group Theory; Hyperbolic Manifolds; Quantum Topology; Braid Groups; Protein Knotting","ids":{"openalex":"https://openalex.org/T10304","wikipedia":"https://en.wikipedia.org/wiki/Symplectic_topology"},"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory"},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models"},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory"},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications"},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis"},{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory"},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds"},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems"},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry"},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications"}],"works_count":106715,"cited_by_count":1022853,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T10304","updated_date":"2026-10-22T03:01:35","created_date":"2024-01-23T15:27:06"}