English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations, as one wouldexpect from an integrable system, has many symmetries, both continuous anddiscrete. One class - the so-called Legendre transformations - were introducedby Dubrovin. They are a discrete set of symmetries between the stronger conceptof a Frobenius manifold, and are generated by certain flat vector fields. Inthis paper this construction is generalized to the case where the vector field(called here the Legendre field) is non-flat but satisfies a certain set ofdefining equations. One application of this more general theory is to generatethe induced symmetry between almost-dual Frobenius manifolds whose underlyingFrobenius manifolds are related by a Legendre transformation. This alsoprovides a map between rational and trigonometric solutions of the WDVVequations.

Generalized Legendre transformations and symmetries of the WDVV equations