Augmentation categories in higher dimensions
Organizers
Speaker
Hanming Liu
Time
Thursday, September 11, 2025 2:30 PM - 3:30 PM
Venue
Shuangqing-B627
Abstract
For a compact Legendrian submanifold of a 1-jet space, one can associate to it the augmentation category, which is a unital A-infinity category, whose objects are the augmentations of the Chekanov-Eliashberg DGA of the Legendrian, and is conjecturally equivalent to the rank 1 microlocal sheaf category. This extends the construction of such a category in the case of Legendrian links in standard contact 3-space by Ng-Rutherford-Shende-Sivek-Zaslow. In this talk, I will sketch the construction of the augmentation category, and if time permits, I will also talk about some work in progress about a partially wrapped version of contact Fukaya category in 1-jet spaces.