Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematics
|
| gptkbp:applies_to |
symplectic geometry
low-dimensional topology |
| gptkbp:can_be_computed_using |
spectral sequences
|
| gptkbp:developed_by |
gptkb:Andreas_Floer
|
| gptkbp:has_applications_in |
gptkb:string_theory
|
| gptkbp:has_connection_to |
gptkb:quantum_field_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Floer homology
|
| gptkbp:involves |
moduli spaces
|
| gptkbp:is_a_homology_theory_for |
infinite-dimensional manifolds
|
| gptkbp:is_a_subject_of |
mathematical physics
mathematical research advanced mathematical research |
| gptkbp:is_a_tool_for |
understanding the geometry of manifolds
analyzing symplectic structures studying Lagrangian submanifolds understanding symplectic invariants |
| gptkbp:is_analyzed_in |
the behavior of dynamical systems
|
| gptkbp:is_associated_with |
the action functional
|
| gptkbp:is_connected_to |
the Seiberg-Witten invariants
the study of algebraic geometry the topology of manifolds the study of moduli spaces of curves |
| gptkbp:is_defined_by |
the field of real numbers
pseudoholomorphic curves |
| gptkbp:is_essential_for |
the study of 4-manifolds
|
| gptkbp:is_influenced_by |
the work of Michael Freedman
|
| gptkbp:is_part_of |
modern geometry
the mathematical framework of symplectic geometry the mathematical study of invariants the mathematical study of invariants in topology |
| gptkbp:is_related_to |
gptkb:Gromov-Witten_invariants
K-theory the study of algebraic topology the study of deformation theory the topology of Lagrangian submanifolds the topology of fiber bundles |
| gptkbp:is_standardized_by |
Morse theory
|
| gptkbp:is_studied_for |
the topology of symplectic manifolds
the topology of symplectic manifolds. |
| gptkbp:is_studied_in |
differential topology
|
| gptkbp:is_used_in |
the study of mirror symmetry
the study of knot invariants the study of Hamiltonian dynamics the study of topological field theories |
| gptkbp:is_used_in_the_study_of |
Hamiltonian systems
|
| gptkbp:is_used_to_prove |
the Arnold conjecture
|
| gptkbp:key_concept |
symplectic topology
the study of geometric analysis the study of differential equations the study of gauge theory |
| gptkbp:named_after |
gptkb:Andreas_Floer
|
| gptkbp:provides |
invariants for 3-manifolds
|
| gptkbp:technique |
computing invariants
computing topological invariants understanding the structure of manifolds |
| gptkbp:type_of |
homology theory
|
| gptkbp:bfsParent |
gptkb:Andreas_Floer
|
| gptkbp:bfsLayer |
5
|