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- W2736996425 abstract "This chapter begins with a special kind of Fredholm operator called Toeplitz operator. A family of such operators over a space X leads us to Bott periodicity theorem in the following form $$Kleft( X right) otimes Kleft( {{S^2}} right) cong Kleft( {X times {S^2}} right),ortilde Kleft( X right) otimes tilde Kleft( {{S^2}} right) cong tilde Kleft( {X wedge {S^2}} right)$$. Then we use Bott periodicity theorem to prove Thorn Isomorphism theorem for a complex vector bundle over X. This is approach is different from that considered in Atiyah and Bott [6]. The formulation of the proof of the Bott periodicity theorem presented here fits into the axiomatic treatment as given in Atiyah [5]." @default.
- W2736996425 created "2017-07-31" @default.
- W2736996425 creator A5022869838 @default.
- W2736996425 date "2013-01-01" @default.
- W2736996425 modified "2023-09-27" @default.
- W2736996425 title "Bott Periodicity and Thorn Isomorphism" @default.
- W2736996425 doi "https://doi.org/10.1007/978-93-86279-60-6_3" @default.
- W2736996425 hasPublicationYear "2013" @default.
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