4 papers
Open-Closed Hochschild Homology and the Relative Disk Mapping Space
Yi Wang, Hang Yuan
It is known that a model for the differential graded algebra (dga) of differential forms on the free loop space of a simply connected smooth manifold is given by the Hochs…
Cyclic brace relation and BV structure on open-closed Hochschild cohomology
Hang Yuan
For an open-closed homotopy algebra (OCHA), the previous work indicates that there is an open-closed version of Hochschild cohomology with a canonical Gerstenhaber algebra structur…
Non-archimedean analytic continuation of unobstructedness
Hang Yuan
The Floer cohomology and the Fukaya category are not defined in general. Indeed, while the issue of obstructions can be theoretically addressed by introducing bounding cochains, th…
An open-closed string analogue of Hochschild cohomology
Hang Yuan
We prove that every open-closed homotopy algebra, introduced by Kajiura and Stasheff (arXiv: archive/0410291), naturally gives rise to an open-closed version of Hochschild cochain…