The Gamma and StromingerYauZaslow conjectures: a tropical approach to periods
Abstract
We propose a new method to compute asymptotics of periods using tropical geometry, in which the Riemann zeta values appear naturally as error terms in tropicalization. Our method suggests how the Gamma class should arise from the StromingerYauZaslow conjecture. We use it to give a new proof of (a version of) the Gamma Conjecture for Batyrev pairs of mirror CalabiYau hypersurfaces.
 Publication:

arXiv eprints
 Pub Date:
 September 2018
 arXiv:
 arXiv:1809.02177
 Bibcode:
 2018arXiv180902177A
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Symplectic Geometry
 EPrint:
 55 pages, 7 figures, v3: added reference to arXiv:2205.00814, in which Yuto Yamamoto points out and fixes an error in our Lemma 5.6. The main results are unaffected