We prove that the ancestor Gromov-Witten correlation functions of one-dimensional compact
Calabi-Yau orbifolds are quasi-modular forms. This includes the pillowcase orbifold which …

This paper calculates the number of full exceptional collections modulo an action of the
quotient of a group as the set generated by spherical twists for an abelian category of …

We provide three new solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations
by computing examples of prepotentials of Hurwitz Frobenius manifolds, their deformations …

For any triple of positive integers and, cusp polynomial is known to be mirror to Geigle–
Lenzing orbifold projective line. More precisely, with a suitable choice of a primitive form, the …

We consider the orbifold curve that is a quotient of an elliptic curve E by a cyclic group of
order 4. We develop a systematic way to obtain a Givental-type reconstruction of Gromov …

We introduce the SL (2, C) SL (2, C) group action on a partition function of a cohomological
field theory via a certain Givental's action. Restricted to the small phase space we describe …

This thesis is devoted to the mirror symmetry in singularity theory. This involves the so-called
Calabi-Yau/Landau-Ginzburg and Landau-Ginzburg/Landau-Ginzburg mirror symmetry …

Зеркальнаÿ симметриÿ, идеÿ которой пришла изначально из физики, ÿвлÿетсÿ в
настоÿщее времÿ большим и интересным разделом математики. Определÿемаÿ …