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: "Ozsváth, Peter"

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. ; ; (, Studia Scientiarum Mathematicarum Hungarica)
    Extending work of Saneblidze–Umble and others, we use diagonals for the associahedron and multiplihedron to define tensor products of𝐴∞-algebras, modules, algebra homomorphisms, and module morphisms, as well as to define a bimodule analogue of twisted complexes (typeDDstructures, in the language of bordered Heegaard Floer homology) and their one- and two-sided tensor products. We then give analogous definitions for 1-parameter deformations of𝐴∞-algebras; this involves another collection of complexes. These constructions are relevant to bordered Heegaard Floer homology. 
    more » « less
    Free, publicly-accessible full text available September 18, 2026
  2. ; ; (, International Press)
    Gross, David; Yao, Andrew Chi-Chih; Yau, Shing-Tung (Ed.)
    Accepted Manuscript Full Text Available
  3. ; ; (, International Press)
    Gross, David; Yao, Andrew Chi-Chih; Yau, Shing-Tung (Ed.)
    Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earlier work of Zoltán Szabó and the second author. In addition to its conceptual interest, bordered Floer homology also provides powerful computational tools. This survey outlines the theory, focusing on recent developments and applications. 
    more » « less
    Accepted Manuscript Full Text Available
  4. ; ; (, Journal of Symplectic Geometry)
    Auroux, Denis; Biran, Paul; Donaldson, Simon; Mrowka, Tomasz (Ed.)
    We describe a weighted A-infinity algebra associated to the torus. We give a combinatorial construction of this algebra, and an abstract characterization. The abstract characterization also gives a relationship between our algebra and the wrapped Fukaya category of the torus. These algebras underpin the (unspecialized) bordered Heegaard Floer homology for three-manifolds with torus boundary, which will be constructed in forthcoming work. 
    more » « less
    Free, publicly-accessible full text available January 1, 2026
  5. ; (, Advances in Mathematics)
    Full Text Available