Tohoku Mathematical Journal
2018

March
SECOND SERIES VOL. 70, NO. 1

Tohoku Math. J.
70 (2018), 17-37

Title ON FROBENIUS MANIFOLDS FROM GROMOV--WITTEN THEORY OF ORBIFOLD PROJECTIVE LINES WITH $R$ ORBIFOLD POINTS

Author Yuuki Shiraishi

(Received December 16, 2014, revised December 18, 2015)
Abstract. We prove that the Frobenius structure constructed from the Gromov--Witten theory for an orbifold projective line with at most $r$ orbifold points is uniquely determined by the WDVV equations with certain natural initial conditions.

Mathematics Subject Classification. Primary 53D45; Secondary 14J33.

Key words and phrases. Orbifold projective line, Gromov--Witten theory, Frobenius manifold.

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