Geodesic
Flops, motives, and invariance of quantum rings
Yuan-Pin Lee1 ; Hui-Wen Lin2 ; Chin-Lung Wang3
1 Department of Mathematics, University of Utah, Salt Lake City, Utah 84103, United States
2 Department of Mathematics<br/>National Taiwan University<br/>No. 1, Sec. 4, Roosevelt Road<br/>Taipei, 10617<br/>Taiwan<br/>and <br/>Department of Mathematics<br/>National Central University<br/>Chung-Li<br/>Taiwan
3 Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan and Department of Mathematics, National Central University, Chung-Li, Taiwan
Annals of mathematics, Tome 172 (2010) no. 1, pp. 243-290.

Voir la notice de l'article provenant de la source Annals of Mathematics website

For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincaré pairing. In the case of simple ordinary flops, this correspondence preserves the big quantum cohomology ring after an analytic continuation over the extended Kähler moduli space.
DOI : 10.4007/annals.2010.172.243

Yuan-Pin Lee 1 ; Hui-Wen Lin 2 ; Chin-Lung Wang 3

1 Department of Mathematics, University of Utah, Salt Lake City, Utah 84103, United States
2 Department of Mathematics<br/>National Taiwan University<br/>No. 1, Sec. 4, Roosevelt Road<br/>Taipei, 10617<br/>Taiwan<br/>and <br/>Department of Mathematics<br/>National Central University<br/>Chung-Li<br/>Taiwan
3 Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan and Department of Mathematics, National Central University, Chung-Li, Taiwan 
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Yuan-Pin Lee; Hui-Wen Lin; Chin-Lung Wang. Flops, motives, and invariance of quantum rings. Annals of mathematics, Tome 172 (2010) no. 1, pp. 243-290. doi : 10.4007/annals.2010.172.243. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.243/

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