34 citations · 208 across the 32 of their papers we have counts for
36 papers
Elliptic orbifold lines and integrable hierarchies
Todor Milanov
In 2003, Givental and the author constructed Hirota quadratic (or bilinear) equations for simple singularities -- a result later utilized by Fan, Jarvis, and Ruan to establish the…
Dubrovin conjecture and the second structure connection
John Alexander Cruz Morales, Todor Milanov
We give a reformulation of the Dubrovin conjecture about the semisimplicity of quantum cohomology in terms of the so-called second structure connection of quantum cohomology. The k…
K-theoretic Heisenberg algebras and permutation-equivariant Gromov--Witten theory
Todor Milanov
We found an interesting application of the K-theoretic Heisenberg algebras of Weiqiang Wang to the foundations of permutation equivariant K-theoretic Gromov--Witten theory. We also…
Reflection Vectors and Quantum Cohomology of Blowups
Todor Milanov, Xiaokun Xia
Let be a smooth projective variety with a semisimple quantum cohomology. It is known that the blowup of at one point also has semisimple qua…
Confluence in quantum K-theory of weak Fano manifolds and q-oscillatory integrals for toric manifolds
Todor Milanov, Alexis Roquefeuil
For a smooth projective variety whose anti-canonical bundle is nef, we prove confluence of the small -theoretic -function, i.e., after rescaling appropriately the Novikov var…
Matrix model for the total descendant potential of a simple singularity of type
Alexander Alexandrov, Todor Milanov
We construct a Hermitian matrix model for the total descendant potential of a simple singularity of type D similar to the Kontsevich matrix model for the generating function of int…