"Verlinde formula in algebraic geometry"의 두 판 사이의 차이
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imported>Pythagoras0 (새 문서: ==expositions== * Szenes, Andras. ‘The Combinatorics of the Verlinde Formulas’. arXiv:alg-geom/9402003, 3 February 1994. http://arxiv.org/abs/alg-geom/9402003. ==articles== * Be...) |
Pythagoras0 (토론 | 기여) |
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| (사용자 2명의 중간 판 8개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
| + | ==introduction== | ||
| + | * Verlinde formula expresses the dimension of the space of global sections of the determinant line bundles (and its multiples) on the moduli space of vector bundles with fixed rank and determinant | ||
| + | |||
==expositions== | ==expositions== | ||
| + | * Beauville, Arnaud. ‘Vector Bundles on Curves and Theta Functions’. arXiv:math/0502179, 9 February 2005. http://arxiv.org/abs/math/0502179. | ||
* Szenes, Andras. ‘The Combinatorics of the Verlinde Formulas’. arXiv:alg-geom/9402003, 3 February 1994. http://arxiv.org/abs/alg-geom/9402003. | * Szenes, Andras. ‘The Combinatorics of the Verlinde Formulas’. arXiv:alg-geom/9402003, 3 February 1994. http://arxiv.org/abs/alg-geom/9402003. | ||
| − | + | * Thaddeus, M. Conformal field theory and the cohomology of the moduli space of stable bundles, http://www.math.columbia.edu/~thaddeus/papers/conformal.pdf | |
| + | * Bott, Raoul. ‘On E. Verlinde’s Formula in the Context of Stable Bundles’. International Journal of Modern Physics A 6 (1991): 2847–58. doi:10.1142/S0217751X91001404. | ||
==articles== | ==articles== | ||
| 7번째 줄: | 12번째 줄: | ||
* Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33. | * Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33. | ||
* Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374. | * Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374. | ||
| + | * Thaddeus, Michael. ‘Stable Pairs, Linear Systems and the Verlinde Formula’. Inventiones Mathematicae 117, no. 1 (1 December 1994): 317–53. doi:10.1007/BF01232244. | ||
| + | [[분류:algebraic geometry]] | ||
| + | [[분류:migrate]] | ||
| + | |||
| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q7921501 Q7921501] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'verlinde'}, {'LEMMA': 'algebra'}] | ||
| + | * [{'LOWER': 'fusion'}, {'LEMMA': 'algebra'}] | ||
2021년 2월 17일 (수) 01:16 기준 최신판
introduction
- Verlinde formula expresses the dimension of the space of global sections of the determinant line bundles (and its multiples) on the moduli space of vector bundles with fixed rank and determinant
expositions
- Beauville, Arnaud. ‘Vector Bundles on Curves and Theta Functions’. arXiv:math/0502179, 9 February 2005. http://arxiv.org/abs/math/0502179.
- Szenes, Andras. ‘The Combinatorics of the Verlinde Formulas’. arXiv:alg-geom/9402003, 3 February 1994. http://arxiv.org/abs/alg-geom/9402003.
- Thaddeus, M. Conformal field theory and the cohomology of the moduli space of stable bundles, http://www.math.columbia.edu/~thaddeus/papers/conformal.pdf
- Bott, Raoul. ‘On E. Verlinde’s Formula in the Context of Stable Bundles’. International Journal of Modern Physics A 6 (1991): 2847–58. doi:10.1142/S0217751X91001404.
articles
- Beauville, Arnaud. 1996. “Conformal Blocks, Fusion Rules and the Verlinde Formula.” In Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, 1993), 9:75–96. Israel Math. Conf. Proc. Ramat Gan: Bar-Ilan Univ. http://www.ams.org/mathscinet-getitem?mr=1360497.
- Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33.
- Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374.
- Thaddeus, Michael. ‘Stable Pairs, Linear Systems and the Verlinde Formula’. Inventiones Mathematicae 117, no. 1 (1 December 1994): 317–53. doi:10.1007/BF01232244.
메타데이터
위키데이터
- ID : Q7921501
Spacy 패턴 목록
- [{'LOWER': 'verlinde'}, {'LEMMA': 'algebra'}]
- [{'LOWER': 'fusion'}, {'LEMMA': 'algebra'}]