Enumeration of curves via floor diagrams

By Erwan Brugallé, G. Mikhalkin. 2007

90 citations recorded by the source corpus.

In this note we compute some enumerative invariants of real and complex projective spaces by means of some enriched graphs called floor diagrams.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c5e7024e408e5cf2c657df8f7b8562379b189a51

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Erwan Brugallé
2. I. Itenberg
3. Sergey Fomin
4. G. Mikhalkin
5. Eugenii Shustin
6. Andrei Zelevinsky
7. Ralf Schiffler
8. I. Reiten

In Mathematical Physics

1. I. Itenberg
2. Sergey Fomin
3. G. Mikhalkin
4. Erwan Brugallé
5. Eugenii Shustin
6. I. Reiten
7. B. Keller
8. Ralf Schiffler

Citations in the corpus

• Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces (2014, result): “Note that there are slight differences with the original definition of floor diagrams in [BM07], [BM08], and [BM].”
• Labeled floor diagrams for plane curves (2009, methodology): “We reformulate the rule given in [8] in the language of labeled floor diagrams obtained by labeling the vertices of a floor diagram of degree d by the integers 1, .”
• On Block-Goettsche multiplicities for planar tropical curves (2012, methodology): “The polynomials G(g,∆) can be computed with the help of floor diagrams for planar tropical curves [2] (particularly with the help of the labeled floor diagrams of [6]) or with the help of the lattice path algorithm [14].”