42 citations · 176 across the 22 of their papers we have counts for
22 papers
Feynman geometry
Sen Hu, Andrey Losev
In this paper we introduce a notion of Feynman geometry on which quantum field theories could be properly defined. A strong Feynman geometry is a geometry when the vector space of…
On enumerative problems for maps and quasimaps: freckles and scars
Olga Chekeres, Santosh Kandel, Andrey Losev +3
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps…
Tropical mirror for toric surfaces
Andrey Losev, Vyacheslav Lysov
We describe the tropical mirror for complex toric surfaces. In particular we provide an explicit expression for the mirror states and show that they can be written in enumerative f…
TQFT, Homological Algebra and elements of K.Saito's Theory of Primitive Form: an attempt of mathematical text written by mathematical physicist
Andrey Losev
The text is devoted to explanation of the concept of Topological Quantum Field Theory (TQFT), its application to homological algebra and to the relation with the theory of good sec…
Tropical Mirror Symmetry: Correlation functions
Andrey Losev, Vyacheslav Lysov
We formulate the mirror symmetry for correlation functions of tropical observables. We prove the tropical mirror correspondence for correlation functions of evaluation observables…
Tropical Mirror
Andrey Losev, Vyacheslav Lysov
We describe the tropical curves in toric varieties and define the tropical Gromov-Witten invariants. We introduce amplitudes for the higher topological quantum mechanics (HTQM) on…