"Mirror symmetry"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 |
imported>Pythagoras0 |
||
1번째 줄: | 1번째 줄: | ||
− | + | ==introduction== | |
− | |||
− | + | ==homological mirror symmetry== | |
+ | * 1994 Kontsevich | ||
+ | * categorical equivalence of the following two categories | ||
+ | ** derived category of bounded complexes of coherent sheaves on a smooth, complete, algebraic variety $X$ over an algebraically closed field | ||
+ | ** Fukaya category of the symplectic manifold $\tilde{X}$ | ||
− | |||
− | |||
− | |||
==exposition== | ==exposition== | ||
* http://www.kias.re.kr/file/NewsletterNo37.pdf | * http://www.kias.re.kr/file/NewsletterNo37.pdf | ||
− | + | * Lectures on Mirror Symmetry, Derived Categories, and D-branes<br> Authors: Anton Kapustin, Dmitri Orlov http://arxiv.org/abs/math/0308173 | |
==books== | ==books== |
2013년 3월 11일 (월) 13:02 판
introduction
homological mirror symmetry
- 1994 Kontsevich
- categorical equivalence of the following two categories
- derived category of bounded complexes of coherent sheaves on a smooth, complete, algebraic variety $X$ over an algebraically closed field
- Fukaya category of the symplectic manifold $\tilde{X}$
exposition
- http://www.kias.re.kr/file/NewsletterNo37.pdf
- Lectures on Mirror Symmetry, Derived Categories, and D-branes
Authors: Anton Kapustin, Dmitri Orlov http://arxiv.org/abs/math/0308173