Skip to main content
SpringerLink
Log in

The Construction of Frobenius Manifolds¶from KP tau-Functions

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

Frobenius manifolds (solutions of WDVV equations) in canonical coordinates are determined by the system of Darboux–Egoroff equations. This system of partial differential equations appears as a specific subset of the n-component KP hierarchy. KP representation theory and the related Sato infinite Grassmannian are used to construct solutions of this Darboux–Egoroff system and the related Frobenius manifolds. Finally we show that for these solutions Dubrovin's isomonodromy tau-function can be expressed in the KP tau-function.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands, , , , , , NL

    J.W. van de Leur & R. Martini

Authors
  1. J.W. van de Leur
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Martini
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 1 September 1998 / Accepted: 7 March 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

van de Leur, J., Martini, R. The Construction of Frobenius Manifolds¶from KP tau-Functions. Comm Math Phys 205, 587–616 (1999). https://doi.org/10.1007/s002200050691

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050691

Keywords

Search

Navigation