[Relations tautologiques et la conjecture de Witten sur l’espace des structures
Dans [11], A. Givental a introduit une action de groupe sur l’espace des potentiels de Gromov-Witten et a prouvé sa transitivité sur les potentiels semi-simples. Dans [24, 25], Y.-P. Lee a montré, modulo certains résultats annoncés par C. Teleman, que cette action préserve les relations tautologiques dans l’anneau de cohomologie de l’espace des modules
In [11], A. Givental introduced a group action on the space of Gromov-Witten potentials and proved its transitivity on the semi-simple potentials. In [24, 25], Y.-P. Lee showed, modulo certain results announced by C. Teleman, that this action respects the tautological relations in the cohomology ring of the moduli space
Keywords: quantization of Frobenius manifolds, Gromov-Witten potential, moduli of curves,
Mot clés : quantification des variétés de Frobenius, potentiel de Gromov-Witten, modules des courbes, structures
@article{ASENS_2010_4_43_4_621_0, author = {Faber, Carel and Shadrin, Sergey and Zvonkine, Dimitri}, title = {Tautological relations and the $r$-spin {Witten} conjecture}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {621--658}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {Ser. 4, 43}, number = {4}, year = {2010}, doi = {10.24033/asens.2130}, mrnumber = {2722511}, zbl = {1203.53090}, language = {en}, url = {https://www.numdam.org/articles/10.24033/asens.2130/} }
TY - JOUR AU - Faber, Carel AU - Shadrin, Sergey AU - Zvonkine, Dimitri TI - Tautological relations and the $r$-spin Witten conjecture JO - Annales scientifiques de l'École Normale Supérieure PY - 2010 SP - 621 EP - 658 VL - 43 IS - 4 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/asens.2130/ DO - 10.24033/asens.2130 LA - en ID - ASENS_2010_4_43_4_621_0 ER -
%0 Journal Article %A Faber, Carel %A Shadrin, Sergey %A Zvonkine, Dimitri %T Tautological relations and the $r$-spin Witten conjecture %J Annales scientifiques de l'École Normale Supérieure %D 2010 %P 621-658 %V 43 %N 4 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/asens.2130/ %R 10.24033/asens.2130 %G en %F ASENS_2010_4_43_4_621_0
Faber, Carel; Shadrin, Sergey; Zvonkine, Dimitri. Tautological relations and the $r$-spin Witten conjecture. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 43 (2010) no. 4, pp. 621-658. doi : 10.24033/asens.2130. https://www.numdam.org/articles/10.24033/asens.2130/
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