[Genres elliptiques du niveau N sur variétés complexes avec le deuxième groupe homotopie fini]
On montre la rigidité des genres elliptiques de niveau N sur les variétés complexes avec deuxième groupe d'homotopie fini et dotées d'actions de
We prove the rigidity of the elliptic genera of level N on complex manifolds with finite second homotopy group admitting circle actions, and the vanishing of the Hilbert polynomial of its canonical bundle.
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Rafael Herrera 1
@article{CRMATH_2007__344_5_317_0, author = {Rafael Herrera}, title = {Elliptic genera of level {\protect\emph{N}} on complex $ {\pi }_{2}$-finite manifolds}, journal = {Comptes Rendus. Math\'ematique}, pages = {317--320}, publisher = {Elsevier}, volume = {344}, number = {5}, year = {2007}, doi = {10.1016/j.crma.2007.01.020}, language = {en}, }
Rafael Herrera. Elliptic genera of level N on complex $ {\pi }_{2}$-finite manifolds. Comptes Rendus. Mathématique, Volume 344 (2007) no. 5, pp. 317-320. doi : 10.1016/j.crma.2007.01.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.01.020/
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- Connective models for topological modular forms of level n, Algebraic Geometric Topology, Volume 23 (2023) no. 8, p. 3553 | DOI:10.2140/agt.2023.23.3553
- Elliptic genera of level N for complete intersections, Frontiers of Mathematics in China, Volume 16 (2021) no. 4, p. 1043 | DOI:10.1007/s11464-021-0917-6
- Rigidity and vanishing theorems for almost quaternionic manifolds, Geometriae Dedicata, Volume 134 (2008) no. 1, p. 139 | DOI:10.1007/s10711-008-9250-4
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