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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Superposition Principle for the Relative Index
verfasst von : Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
Erschienen in: The Localization Problem in Index Theory of Elliptic Operators
Verlag: Springer Basel
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The superposition principle outlined in the introduction deals with modifications (surgeries) of elliptic operators performed on two disjoint closed subsets, say
A
and
B
, of the manifold
M
on which these operators are defined and says that the index increments ∆
A
and ∆
B
resulting from these surgeries are independent (i.e., are just summed if both surgeries are carried out simultaneously).