A uniqueness theorem for Frobenius manifolds and Gromov–Witten theory for orbifold projective lines
-
Yoshihisa Ishibashi
,
Yuuki Shiraishi
Abstract
We prove that the Frobenius structure constructed from the Gromov–Witten theory for an orbifold projective line with at most three orbifold points is uniquely determined by the Witten–Dijkgraaf–Verlinde–Verlinde equations with certain natural initial conditions.
Funding source: JSPS International Training Program
Funding source: Ministry of Education, Culture, Sports, Science and Technology, Japan
Award Identifier / Grant number: Grant-in Aid for Scientific Research 24684005
The second named author is deeply grateful to Claus Hertling and Christian Sevenheck for their valuable discussions and encouragement. He is supported by the JSPS International Training Program (ITP). The third named author is supported by Grant-in Aid for Scientific Research grant numbers 24684005 from the Ministry of Education, Culture, Sports, Science and Technology, Japan. Finally, we thank the referees for their careful reading of our paper and for valuable comments.
© 2015 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
- Maximal minors and linear powers
- Asymptotics of random Betti tables
- Finite Weyl groupoids
- Bogomolov–Sommese vanishing on log canonical pairs
- A uniqueness theorem for Frobenius manifolds and Gromov–Witten theory for orbifold projective lines
- From algebraic cobordism to motivic cohomology
- Transitive actions of locally compact groups on locally contractible spaces
- Erratum to Transitive actions of locally compact groups on locally contractible spaces (J. reine angew. Math. 702 (2015), 227–243)
Artikel in diesem Heft
- Frontmatter
- Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
- Maximal minors and linear powers
- Asymptotics of random Betti tables
- Finite Weyl groupoids
- Bogomolov–Sommese vanishing on log canonical pairs
- A uniqueness theorem for Frobenius manifolds and Gromov–Witten theory for orbifold projective lines
- From algebraic cobordism to motivic cohomology
- Transitive actions of locally compact groups on locally contractible spaces
- Erratum to Transitive actions of locally compact groups on locally contractible spaces (J. reine angew. Math. 702 (2015), 227–243)
