Publication 1: Worldsheet Instantons and Torsion Curves, Part B: Mirror Symmetry. (URL)
Publication 2: Partition Functions, Localization, and the Chiral de Rham complex. (URL)
Publication 3: Resolved Toroidal Orbifolds and their Orientifolds. (URL)
URL of Research:
Statement of Interest:
Various aspects of topological strings on Calabi-Yau
manifolds such as the computation of Gopakumar-Vafa
invariants and non-perturbative contributions to the N=1
superpotential in 4D gauge theories. A different aspect is
the interplay between geometry and conformal field theory
descriptions of these theories and in particular their D-
branes, using e.g. matrix factorizations. This aspect leads
beyond the topological limit and allows the study the
massive modes using chiral CFTs on Calabi-Yau manifolds.
The relevant framework is the so-called chiral de Rham
complex which is related to heterotic (0,2)
compactifications.