Elliptic genera of level N for complete intersections |
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| Authors: | Jianbo WANG Yuyu WANG Zhiwang YU |
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| Affiliation: | 1. School of Mathematics, Tianjin University, Tianjin 300350, China2. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China |
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| Abstract: | We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection. Writing the first Chern class of a complete intersection as a product of an integral coefficient c1 and a generator of the 2nd integral cohomology group, we mainly discuss the values of the elliptic genera of level N for the complete intersection in the cases of c1>, =, or<0, In particular, the values about the Todd genus, , and Ak-genus can be derived from the elliptic genera of level N. |
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| Keywords: | Complete intersection elliptic genera of level N Todd genus Ak-genus |
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