Français
Gysin maps and bulk-edge correspondence
Multi angle
Authors : Matsuo, Shinichiroh (Author of the conference)
CIRM (Publisher )
19K35 - Kasparov theory ($KK$-theory)
53C80 - Applications of global differential geometry to physics
81V70 - Many-body theory; quantum Hall effect
CIRM (Publisher )
Loading the player...
|
Abstract :
We propose a yet another definition of KR-groups, which combines those of Atiyah and Karoubi and gives a simple proof of the Bott periodicity. Using the new definition, we can formulate the bulk-edge correspondence for free fermion systems as the functoriality of the Gysin map.
This is joint work with M. Furuta, S. Hayashi, M. Kotani, Y. Kubota, and K. Sato.
MSC Codes : This is joint work with M. Furuta, S. Hayashi, M. Kotani, Y. Kubota, and K. Sato.
19K35 - Kasparov theory ($KK$-theory)
53C80 - Applications of global differential geometry to physics
81V70 - Many-body theory; quantum Hall effect
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 04/05/16 Conference Date : 21/04/16 Subseries : Research talks arXiv category : High Energy Physics ; Condensed Matter ; Differential Geometry Mathematical Area(s) : Mathematical Physics ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:49:07 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-04-21_Matsuo.mp4 
|
Information on the Event
Event Title : Spectral theory of novel materials / Théorie spectrales des nouveaux matériauxEvent Organizers : Exner, Pavel ; Kotani, Motoko ; Kuchment, Peter ; Zagrebnov, Valentin A. Dates : 18/04/2016 - 22/04/2016 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1399.html
Citation Data
DOI : 10.24350/CIRM.V.18962203Cite this video as: Matsuo, Shinichiroh (2016). Gysin maps and bulk-edge correspondence. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18962203 URI : http://dx.doi.org/10.24350/CIRM.V.18962203 |
See Also
- [Multi angle] Twisted equivariant $\mathrm{K}$-theory and topological phases / Author of the conference Kubota, Yosuke.
- [Multi angle] Overdamping in gyroscopic systems composed of high-loss and lossless components / Author of the conference Figotin, Alexander.
- [Multi angle] Topological nature of the Fu-Kane-Mele invariants / Author of the conference De Nittis, Giuseppe.
- [Post-edited] Emergent anyons in quantum Hall physics / Author of the conference Rougerie, Nicolas.
Bibliography
