33 citations · 39 across the 7 of their papers we have counts for
11 papers · 1 filter
On the -theory of smooth toric DM stacks
Lev A. Borisov, R. Paul Horja
We explicitly calculate the Grothendieck -theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate -theory p…
Higher Stanley-Reisner rings and Toric Residues
Lev A. Borisov
We give a purely algebraic proof of the hypersurface case of Toric Residue Mirror Conjecture recently proposed by Batyrev and Materov.
Chiral rings of vertex algebras of mirror symmetry
Lev A. Borisov
We calculate chiral rings of the N=2 vertex algebras constructed from the combinatorial data of toric mirror symmetry and show that they coincide with the description of stringy co…
McKay correspondence for elliptic genera
Lev Borisov, Anatoly Libgober
We establish a correspondence between orbifold and singular elliptic genera of a global quotient. While the former is defined in terms of the fixed point set of the action, the lat…
String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry
Lev A. Borisov, Anvar R. Mavlyutov
We propose a construction of string cohomology spaces for Calabi-Yau hypersurfaces that arise in Batyrev's mirror symmetry construction. The spaces are defined explicitly in terms…
Elliptic functions and equations of modular curves
Lev Borisov, Paul Gunnells, Sorin Popescu
Let be a prime. We show that the space of weight one Eisenstein series defines an embedding into $\PP^{(p-3)/2}$ of the modular curve for the congruence group $Γ_…