skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Kuo, Christopher"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, International Mathematics Research Notices)
    Abstract We study the dualizability of sheaves on manifolds with isotropic singular supports $$\operatorname{Sh}_\Lambda (M)$$ and microsheaves with isotropic supports $$\operatorname{\mu sh}_\Lambda (\Lambda )$$ and obtain a classification result of colimit-preserving functors by convolutions of sheaf kernels. Moreover, for sheaves with isotropic singular supports and compact supports $$\operatorname{Sh}_\Lambda ^{b}(M)_{0}$$, the standard categorical duality and Verdier duality are related by the wrap-once functor, which is the inverse Serre functor in proper objects, and we thus show that the Verdier duality extends naturally to all compact objects $$\operatorname{Sh}_\Lambda ^{c}(M)_{0}$$ when the wrap-once functor is an equivalence, for instance, when $$\Lambda $$ is a full Legendrian stop or a swappable Legendrian stop. 
    more » « less
    Free, publicly-accessible full text available March 1, 2026