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Anomalies of Dirac Type Operators on Euclidean Space

Carey, Alan; Grosse, Harald; Kaad, Jens

Description

We develop by example a type of index theory for non-Fredholm operators. A general framework using cyclic homology for this notion of index was introduced in a separate article (Carev and Kaad, Topological invariance of the homological index. arXiv:1402.0475 [math.KT], 2014) where it may be seen to generalise earlier ideas of Carey–Pincus and Gesztesy–Simon on this problem. Motivated by an example in two dimensions in Bollé et al. (J Math Phys 28:1512–1525, 1987) we introduce in this paper a...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/66603
Source: Communications in Mathematical Physics
DOI: 10.1007/s00220-014-2204-9

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