Atiyah-Patodi-Singer Index Theorem
GPTKB entity
Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
6
|
| gptkbp:bfsParent |
gptkb:Robert_Atiyah
|
| gptkbp:applies_to |
gptkb:television_channel
differential geometry |
| gptkbp:field |
gptkb:Mathematician
|
| gptkbp:has_programs |
gptkb:musician
gptkb:military_officer mathematical physics noncommutative geometry |
| gptkbp:historical_significance |
20th century mathematics
mathematical innovation advancements in geometry development of index theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Atiyah-Patodi-Singer Index Theorem
|
| gptkbp:involves |
boundary value problems
elliptic operators |
| gptkbp:is_cited_in |
research articles
theses dissertations many mathematical papers |
| gptkbp:is_explored_in |
gptkb:book
gptkb:academic_journal mathematical literature lecture notes |
| gptkbp:is_influenced_by |
algebraic topology
geometric methods functional analysis topological methods earlier index theorems |
| gptkbp:is_part_of |
modern mathematics
mathematical analysis geometric analysis differential topology |
| gptkbp:is_related_to |
Riemannian manifolds
K-theory spectral sequences heat equation |
| gptkbp:is_standardized_by |
index theorem
|
| gptkbp:is_studied_in |
workshops
research seminars graduate courses mathematics conferences |
| gptkbp:is_used_in |
gptkb:Research_Institute
geometry mathematical proofs |
| gptkbp:proposed_by |
gptkb:Michael_Atiyah
gptkb:Viktor_G._Patodi gptkb:Isadore_M._Singer |
| gptkbp:provides |
index formula
|
| gptkbp:published_by |
gptkb:Annals_of_Mathematics
|
| gptkbp:related_to |
index theory
|