"Hitchin system"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 잔글 (찾아 바꾸기 – “* Princeton companion to mathematics(Companion_to_Mathematics.pdf)” 문자열을 “” 문자열로) |
imported>Pythagoras0 |
||
| 5번째 줄: | 5번째 줄: | ||
* the spectral curve is a hyperelliptic curve (genus 2 or more) | * the spectral curve is a hyperelliptic curve (genus 2 or more) | ||
| − | + | * explicit formulas for genus 2 case | |
| + | * B. van Geemen, A.J. de Jong, "On Hitchin's connection" J. Amer. Math. Soc. , 11 (1998) pp. 189–228 http://dx.doi.org/10.1090/S0894-0347-98-00252-5 | ||
| + | * van Geemen, Bert, and Emma Previato. 1994. On the Hitchin System. Duke Math. J. , 85 : 3 (1996) pp. 659–683 alg-geom/9410015 (October 14). http://arxiv.org/abs/alg-geom/9410015. | ||
| − | + | ||
| − | + | ||
| − | |||
| − | + | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
==related items== | ==related items== | ||
| − | + | ||
| − | + | ||
==encyclopedia== | ==encyclopedia== | ||
| 36번째 줄: | 25번째 줄: | ||
* http://en.wikipedia.org/wiki/Hitchin_system | * http://en.wikipedia.org/wiki/Hitchin_system | ||
* Hitchin system http://eom.springer.de/H/h120090.htm | * Hitchin system http://eom.springer.de/H/h120090.htm | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
==expositions== | ==expositions== | ||
| − | * Scognamillo, Renata. 1999. A note on the complete integrability of the Hitchin system. Archiv der Mathematik 73, no. 1 (7): 50-55. doi:[http://dx.doi.org/10.1007/s000130050019 10.1007/s000130050019]. | + | * Scognamillo, Renata. 1999. A note on the complete integrability of the Hitchin system. Archiv der Mathematik 73, no. 1 (7): 50-55. doi:[http://dx.doi.org/10.1007/s000130050019 10.1007/s000130050019]. |
| − | + | ||
| − | + | ||
==articles== | ==articles== | ||
| + | * Andersen, Jørgen Ellegaard, and Niels Leth Gammelgaard. “The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory.” arXiv:1409.1035 [math], September 3, 2014. http://arxiv.org/abs/1409.1035. | ||
| − | + | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
[[분류:integrable systems]] | [[분류:integrable systems]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
2014년 9월 6일 (토) 21:02 판
introduction
- elliptic Calogero-Moser system is an example of Hitchin system.
- http://ncatlab.org/nlab/show/Hitchin+fibration
- the spectral curve is a hyperelliptic curve (genus 2 or more)
- explicit formulas for genus 2 case
- B. van Geemen, A.J. de Jong, "On Hitchin's connection" J. Amer. Math. Soc. , 11 (1998) pp. 189–228 http://dx.doi.org/10.1090/S0894-0347-98-00252-5
- van Geemen, Bert, and Emma Previato. 1994. On the Hitchin System. Duke Math. J. , 85 : 3 (1996) pp. 659–683 alg-geom/9410015 (October 14). http://arxiv.org/abs/alg-geom/9410015.
encyclopedia
expositions
- Scognamillo, Renata. 1999. A note on the complete integrability of the Hitchin system. Archiv der Mathematik 73, no. 1 (7): 50-55. doi:10.1007/s000130050019.
articles
- Andersen, Jørgen Ellegaard, and Niels Leth Gammelgaard. “The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory.” arXiv:1409.1035 [math], September 3, 2014. http://arxiv.org/abs/1409.1035.