{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","description":"This cluster of papers focuses on the deformation quantization of Poisson manifolds, involving topics such as Lie algebroids, homotopy theory, symplectic geometry, model categories, K-theory, operads, and higher algebraic structures. It explores the application of deformation quantization in various mathematical contexts and its implications for understanding geometric and algebraic structures.","keywords":[{"id":"https://openalex.org/keywords/homotopy-theory","display_name":"homotopy theory","score":0.7291},{"id":"https://openalex.org/keywords/algebraic-topology","display_name":"algebraic topology","score":0.4109},{"id":"https://openalex.org/keywords/algebraic-k-theory","display_name":"algebraic K-theory","score":0.4891},{"id":"https://openalex.org/keywords/homotopy-groups","display_name":"homotopy groups","score":0.6839},{"id":"https://openalex.org/keywords/homotopy-invariants","display_name":"homotopy invariants","score":0.691},{"id":"https://openalex.org/keywords/stable-homotopy-theory","display_name":"stable homotopy theory","score":0.9241},{"id":"https://openalex.org/keywords/cohomology","display_name":"cohomology","score":0.2621},{"id":"https://openalex.org/keywords/simplicial-sets","display_name":"simplicial sets","score":0.8184},{"id":"https://openalex.org/keywords/equivariant-cohomology","display_name":"equivariant cohomology","score":0.5744},{"id":"https://openalex.org/keywords/operads","display_name":"operads","score":0.704},{"id":"https://openalex.org/keywords/classifying-spaces","display_name":"classifying spaces","score":0.6959},{"id":"https://openalex.org/keywords/equivariant-homotopy-theory","display_name":"equivariant homotopy theory","score":0.8691},{"id":"https://openalex.org/keywords/characteristic-classes","display_name":"characteristic classes","score":0.4401},{"id":"https://openalex.org/keywords/homotopy-type","display_name":"homotopy type","score":0.426},{"id":"https://openalex.org/keywords/loop-spaces","display_name":"loop spaces","score":0.5763},{"id":"https://openalex.org/keywords/k-theory","display_name":"K-theory","score":0.2177},{"id":"https://openalex.org/keywords/deformation-quantization","display_name":"deformation quantization","score":0.4553},{"id":"https://openalex.org/keywords/cohomology-operations","display_name":"cohomology operations","score":0.8956},{"id":"https://openalex.org/keywords/rational-homotopy-theory","display_name":"rational homotopy theory","score":0.883},{"id":"https://openalex.org/keywords/compact-lie-groups","display_name":"compact Lie groups","score":0.2407},{"id":"https://openalex.org/keywords/spectral-sequences","display_name":"spectral sequences","score":0.42},{"id":"https://openalex.org/keywords/higher-category-theory","display_name":"higher category theory","score":0.737},{"id":"https://openalex.org/keywords/homotopy-equivalence","display_name":"homotopy equivalence","score":0.4058},{"id":"https://openalex.org/keywords/model-categories","display_name":"model categories","score":0.8473},{"id":"https://openalex.org/keywords/equivariant-topology","display_name":"equivariant topology","score":0.5174}],"legacy_keywords":"Deformation Quantization; Poisson Manifolds; Lie Algebroids; Homotopy Theory; Symplectic Geometry; Model Categories; K-Theory; Operads; Higher Algebraic Structures; Stacks","ids":{"openalex":"https://openalex.org/T10896","wikipedia":"https://en.wikipedia.org/wiki/Deformation_quantization"},"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals"},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research"},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics"},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics"},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems"},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory"},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems"},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry"},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories"},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis"},{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories"}],"works_count":68312,"cited_by_count":664369,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T10896","updated_date":"2026-10-21T03:01:35","created_date":"2024-01-23T15:27:08"}