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- Eisenbud–Levine–Khimshiashvili_signature_formula abstract "In mathematics, and especially differential topology and singularity theory, the Eisenbud–Levine–Khimshiashvili signature formula gives a way of computing the Poincaré-Hopf index of a real, analytic vector field at an algebraically isolated singularity. It is named after David Eisenbud, Harold Levine, and George Khimshiashvili. Intuitively, the index of a vector field near a zero is the number of times the vector field wraps around the sphere. Because analytic vector fields have a rich algebraic structure, the techniques of commutative algebra can be brought to bear to compute their index. The signature formula expresses the index of an analytic vector field in terms of the signature of a certain quadratic form.".
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageID "29778635".
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageLength "14247".
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageOutDegree "40".
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageRevisionID "643367438".
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Algebra.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Algebra_(mathematics).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Analytic_function.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Basis_(linear_algebra).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Bilinear_form.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Category:Singularity_theory.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Category:Theorems_in_differential_topology.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Commutative_algebra.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Complex_domain.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Complex_number.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Complexification.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Coordinate_system.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink D._Eisenbud.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink David_Eisenbud.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Determinant.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Differential_topology.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Eigenvalue.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Equivalence_class.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Function_(mathematics).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink George_Khimshiashvili.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Germ_(mathematics).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Harold_Levine.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Ideal_(ring_theory).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Index_of_a_vector_field.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Jacobian_matrix.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Jacobian_matrix_and_determinant.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Local_algebra.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Local_ring.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Modular_arithmetic.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Neighbourhood_(mathematics).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Open_neighbourhood.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Poincaré-Hopf_theorem.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Poincaré–Hopf_theorem.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Polar_coordinate_system.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Polar_coordinates.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Quadratic_form.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Quotient_ring.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Real-valued_function.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Real_coordinate_space.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Real_valued_function.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Ring_(mathematics).
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Signature_of_a_quadratic_form.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Singularity_theory.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Topological_degree.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Topological_degree_theory.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLink Vector_field.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageWikiLinkText "Eisenbud–Levine–Khimshiashvili signature formula".
- Eisenbud–Levine–Khimshiashvili_signature_formula hasPhotoCollection Eisenbud–Levine–Khimshiashvili_signature_formula.
- Eisenbud–Levine–Khimshiashvili_signature_formula wikiPageUsesTemplate Template:Reflist.
- Eisenbud–Levine–Khimshiashvili_signature_formula subject Category:Singularity_theory.
- Eisenbud–Levine–Khimshiashvili_signature_formula subject Category:Theorems_in_differential_topology.
- Eisenbud–Levine–Khimshiashvili_signature_formula comment "In mathematics, and especially differential topology and singularity theory, the Eisenbud–Levine–Khimshiashvili signature formula gives a way of computing the Poincaré-Hopf index of a real, analytic vector field at an algebraically isolated singularity. It is named after David Eisenbud, Harold Levine, and George Khimshiashvili. Intuitively, the index of a vector field near a zero is the number of times the vector field wraps around the sphere.".
- Eisenbud–Levine–Khimshiashvili_signature_formula label "Eisenbud–Levine–Khimshiashvili signature formula".
- Eisenbud–Levine–Khimshiashvili_signature_formula sameAs m.0fq1tkd.
- Eisenbud–Levine–Khimshiashvili_signature_formula sameAs Q5349904.
- Eisenbud–Levine–Khimshiashvili_signature_formula sameAs Q5349904.
- Eisenbud–Levine–Khimshiashvili_signature_formula wasDerivedFrom Eisenbud–Levine–Khimshiashvili_signature_formula?oldid=643367438.
- Eisenbud–Levine–Khimshiashvili_signature_formula isPrimaryTopicOf Eisenbud–Levine–Khimshiashvili_signature_formula.