Some remarks on Gopakumar-Vafa invariants. (English) Zbl 1130.14300

Schwarz, Albert S.; Shapiro, Ilya

Pure Appl. Math. Q. 1, No. 4, 817-826 (2005).

Summary: We show that Gopakumar-Vafa invariants can be expressed in terms of the cohomology ring of moduli space of D-branes without reference to the \(\mathfrak{sl}_2 \times \mathfrak{sl}_2\) action. We also give a simple construction of this action.

MSC:

14D21	Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
14N35	Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
14F43	Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)