Comparing tautological relations from the equivariant Gromov-Witten theory of projective spaces and spin structures
F Janda - arXiv preprint arXiv:1407.4778, 2014 - arxiv.org
arXiv preprint arXiv:1407.4778, 2014•arxiv.org
Pandharipande-Pixton-Zvonkine's proof of Pixton's generalized Faber-Zagier relations in the
tautological ring of $\overline M_ {g, n} $ has started the study of tautological relations from
semisimple cohomological field theories. In this article we compare the relations obtained in
the examples of the equivariant Gromov-Witten theory of projective spaces and of spin
structures. We prove an equivalence between the $\mathbb P^ 1$-and 3-spin relations, and
more generally between restricted $\mathbb P^ m $-relations and similarly restricted (m+ 2) …
tautological ring of $\overline M_ {g, n} $ has started the study of tautological relations from
semisimple cohomological field theories. In this article we compare the relations obtained in
the examples of the equivariant Gromov-Witten theory of projective spaces and of spin
structures. We prove an equivalence between the $\mathbb P^ 1$-and 3-spin relations, and
more generally between restricted $\mathbb P^ m $-relations and similarly restricted (m+ 2) …
Pandharipande-Pixton-Zvonkine's proof of Pixton's generalized Faber-Zagier relations in the tautological ring of has started the study of tautological relations from semisimple cohomological field theories. In this article we compare the relations obtained in the examples of the equivariant Gromov-Witten theory of projective spaces and of spin structures. We prove an equivalence between the - and 3-spin relations, and more generally between restricted -relations and similarly restricted (m + 2)-spin relations. We also show that the general -relations imply the (m + 2)-spin relations.
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