Research Topic

Homotopy and Cohomology in Algebraic Topology

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.

Works
81,103
Citations
580,684
Domain
Physical Sciences
Field
Mathematics
Subfield
Mathematical Physics
OpenAlex ID
T10896

Taxonomy Context

Physical Sciences / Mathematics / Mathematical Physics

Related Topics

Mathematical Dynamics and FractalsAdvanced Operator Algebra ResearchSpectral Theory in Mathematical PhysicsStochastic processes and statistical mechanicsNumerical methods in inverse problemsAdvanced Banach Space TheoryAdvanced Mathematical Physics ProblemsAdvanced Algebra and Geometryadvanced mathematical theoriesMathematical and Theoretical AnalysisAdvanced Mathematical Theories