Frobenius manifolds near the discriminant and relations in the tautological ring
Abstract
We give a criterion for extending a generically semisimple (not necessarily conformal) Frobenius manifold locally near a smooth point of the discriminant to a cohomological field theory. As an application, we show that a large set of tautological relations related to the Givental-Teleman classification for any generically semisimple cohomological field theories follow from Pixton's generalized Faber-Zagier relations.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- July 2018
- DOI:
- 10.1007/s11005-018-1047-2
- arXiv:
- arXiv:1505.03419
- Bibcode:
- 2018LMaPh.108.1649J
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14H10;
- 14N35
- E-Print:
- Part of author's PhD thesis, 28 pages, v3: Section 2 simplified using results of Hertling, agrees with published version, v2: Section 3 rewritten to include result on extending Frobenius manifolds to CohFTs