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

Award ID contains: 1905717

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. ; (, AMS)
    Accepted Manuscript Full Text Available
  2. ; ; (, Quantum Topology)
    The aim of this paper is to study the behavior of knot Floer homology under Murasugi sum. We establish a graded version of Ni’s isomorphism between the extremal knot Floer homology of Murasugi sum of two links and the tensor product of the extremal knot Floer homology groups of the two summands. We further prove that\tau=gfor each summand if and only if\tau=gholds for the Murasugi sum (with\tauandgdefined appropriately for multi-component links). Some applications are presented. 
    more » « less
    Full Text Available 
  3. ; ; (, Springer Nature Switzerland)
    Full Text Available 
  4. ; (, Transactions of the American Mathematical Society)
    We construct a mixed invariant of nonorientable surfaces from the Lee and Bar-Natan deformations of Khovanov homology and use it to distinguish pairs of surfaces bounded by the same knot, including some exotic examples. 
    more » « less
    Full Text Available 
  5. ; (, American Journal of Mathematics)
    Full Text Available 
  6. ; ; (, Journal of Topology)