4 papers
Calabi-Yau Deformation Quantization
Jakob Ulmer
We record the Calabi-Yau version of Kontsevich's formality morphism from deformation quantization. As a special case we find that any unimodular holomorphic Poisson Calabi-Yau has…
Open-Closed String Field Theory from Calabi-Yau Categories and its Applications to Enumerative Geometry
Jakob Ulmer
The overarching goal of this thesis was to develop categorical methods that connect enumerative geometry, as studied in mirror symmetry, with large gauge theories. In the first…
Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism
Jakob Ulmer
Categorical enumerative invariants of a Calabi-Yau category, encoded as the partition function of the associated closed string field theory (SFT), conjecturally equal Gromov-Witten…
Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem
Jakob Ulmer
We relate graph complexes, Calabi-Yau -categories and Kontsevich's cocycle construction. Our main result produces a commutative square of shifted Poisson algebras; one of…