Frobenius Manifolds and Moduli Spaces for Singularities
By C. Hertling. 2002
303 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/a2632fdc3a4f08a96099a3be49bd075a2cdfbd4c
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Citations in the corpus
- THE CURVATURE OF A HESSIAN METRIC (2004, unknown): “l role in this problem. A rough analogy which encourages this belief is Hertling’s theorem: any massive Frobenius manifold whose Euler vector field has positive degrees arises from some Coxeter group ([15], Theorem 5.25). The paper starts with general formulas for the curvature of Hessian metrics. We”
- Simple singularities and integrable hierarchies (2003, background): “This expression, which seems to be a function of τ , has to be a constant, and the value of this constant is well-known to be trμμ∗/4 (see for instance the last chapter in [13]).”
- ON ALMOST DUALITY FOR FROBENIUS MANIFOLDS (2003, methodology): “, t) are the flat coordinates [39, 23] on the base Mf of the versal deformation, n is the Milnor number of the singularity.”
- Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I) (2002, background): “Saito [58], [60] (see also [22] for a presentation of the theory).”
- Symplectic geometry of Frobenius structures (2003, background): “Saito’s theory of primitive forms in singularity theory (see [28] for a modern exposition).”
- An update on semisimple quantum cohomology and F-manifolds (2008, background): “(d) Choice of a filtration on the cohomology space of the Milnor fiber (M. Saito, cf. [ 11 ] and the references therein).”
- The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants (2002, background): “[22] C. Hertling, “Frobenius manifolds and moduli spaces for singularities.””
- Operads, deformation theory and F-manifolds (2002, background): “Hertling in his book [He] explained in detail how F -manifolds turn up in the singularity theory.”