A Formula of the One-leg Orbifold Gromov-Witten Vertex and Gromov-Witten Invariants of the Local $\cB\bZ_m$ Gerbe

Details A Formula of the One-leg Orbifold Gromov-Witten Vertex and Gromov-Witten Invariants of the Local $\cB\bZ_m$ Gerbe A Formula of the One-leg Orbifold Gromov-Witten Vertex and Gromov-Witten Invariants of the Local $\cB\bZ_m$ Gerbe

2012-04-08

arxiv.org/abs/1204.1753v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

We give a formula of the framed one-leg orbifold Gromov-Witten vertex where
the leg is gerby with isotropy group $\bZ_m$. Then we use this formula to
compute the Gromov-Witten invariants of the local $\cB\bZ_m$ gerbe. We will
also compute some examples of the degree 1 and degree 2 $\bZ_2$-Hodge
integrals.

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