Index theory for skew-adjoint Fredholm operators
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Publication:2539007
DOI10.1007/BF02684885zbMath0194.55503MaRDI QIDQ2539007
I. M. Singer, Michael F. Atiyah
Publication date: 1969
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1969__37__5_0
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Cites Work
- The stable homotopy of the classical groups
- The homotopy type of the unitary group of Hilbert space
- Clifford modules
- Banach algebras and Bott periodicity
- On Spaces Having the Homotopy Type of a CW-Complex
- BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
- Mappings Between Function Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item