Index theory of elliptic operators

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic
gptkbp:application	gptkb:K-theory topological invariants calculation of analytical index
gptkbp:field	gptkb:mathematics gptkb:topology differential geometry global analysis
gptkbp:hasConcept	gptkb:Fredholm_operator elliptic operator index (mathematics)
gptkbp:historicalPeriod	developed in the 1960s
gptkbp:influencedBy	gptkb:topology functional analysis differential topology
gptkbp:notable_for	gptkb:Atiyah–Singer_index_theorem
gptkbp:notableAchievement	index equals analytical index equals topological index (under Atiyah–Singer theorem) index is a topological invariant index is stable under continuous deformations
gptkbp:notablePerson	gptkb:Michael_Atiyah gptkb:Isadore_Singer
gptkbp:relatedConcept	gptkb:heat_equation gptkb:Chern_character gptkb:Riemann–Roch_theorem gptkb:characteristic_class gptkb:differential_operator spectral theory cohomology Dirac operator de Rham operator elliptic complex signature operator
gptkbp:bfsParent	gptkb:K-Theory
gptkbp:bfsLayer	7
http://www.w3.org/2000/01/rdf-schema#label	Index theory of elliptic operators