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: 1709016

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. ; (, Selecta Mathematica)
    Full Text Available 
  2. ; ; (, Journal of the European Mathematical Society)
    Full Text Available 
  3. ; (, Inventiones mathematicae)
    null (Ed.)
    Full Text Available 
  4. ; (, Proceedings of the National Academy of Sciences)
    We conjecture a four-dimensional characterization of tightness: A contact structure on a 3-manifold Y is tight if and only if a slice-Bennequin inequality holds for smoothly embedded surfaces in Y × [ 0,1 ] . An affirmative answer to our conjecture would imply an analogue of the Milnor conjecture for torus knots: If a fibered link L induces a tight contact structure on Y, then its fiber surface maximizes the Euler characteristic among all surfaces in Y × [ 0,1 ] with boundary L. We provide evidence for both conjectures by proving them for contact structures with nonvanishing Ozsváth–Szabó contact invariant. 
    more » « less
  5. (, Notices of the American Mathematical Society)
    null (Ed.)
    Full Text Available 
  6. ; ; ; (, Transactions of the American Mathematical Society)
    null (Ed.)
    Full Text Available 
  7. ; ; (, Advances in Mathematics)
    null (Ed.)
    Full Text Available 
  8. ; (, Advances in Mathematics)
    null (Ed.)
    Full Text Available