## 272 Citations

### (0,2) elephants

- Mathematics
- 2010

A bstractWe enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the “standard embedding” in three distinct ways. In the large radius…

### Mirror Symmetry and Discriminants

- Mathematics
- 2017

We analyze the locus, together with multiplicities, of "bad" conformal field theories in the compactified moduli space of N=(2,2) superconformal field theories in the context of the generalization of…

### Gromov-Witten Theory and Threshold Corrections

- Mathematics
- 2006

We present an overview of Gromov-Witten theory and its links with string theory compactifications, focussing on the GW potential as the generating function for topological string amplitudes at genus…

### Mirror symmetry for Calabi-Yau hypersurfaces in weighted and extensions of Landau-Ginzburg theory

- MathematicsNuclear Physics B
- 1995

### Mirror Principle I

- Mathematics
- 1997

Abstract. We propose and study the following Mirror Principle: certain sequences of multiplicative equivariant characteristic classes on Kontsevich’s stable map moduli spaces can be computed in terms…

### Flop transitions in M theory cosmology

- Physics
- 2003

We study flop-transitions for M-theory on Calabi-Yau three-folds and their applications to cosmology in the context of the effective five-dimensional supergravity theory. In particular, the…

### A G ] 8 M ar 2 01 8 Mirror symmetry , mixed motives and ζ ( 3 )

- Mathematics
- 2018

In this paper, we formulate a natural conjecture on the location of mixed Tate motives in Voevodsky’s triangulated category of motives over Q. This conjecture is almost certainly well-known to…

### String Duality and Enumeration of Curves by Jacobi Forms

- Mathematics
- 1998

For a Calabi-Yau threefold admitting both a K3 fibration and an elliptic fibration (with some extra conditions) we discuss candidate asymptotic expressions of the genus 0 and 1 Gromov-Witten…

## References

SHOWING 1-10 OF 29 REFERENCES

### Compactifications of moduli spaces inspired by mirror symmetry

- Mathematics
- 1993

We study moduli spaces of nonlinear sigma-models on Calabi-Yau manifolds, using the one-loop semiclassical approximation. The data being parameterized includes a choice of complex structure on the…

### Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties

- Mathematics
- 1993

We formulate general conjectures about the relationship between the A-model connection on the cohomology of ad-dimensional Calabi-Yau complete intersectionV ofr hypersurfacesV1,...,Vr in a toric…

### Picard-Fuchs equations and mirror maps for hypersurfaces

- Mathematics
- 1991

We describe a strategy for computing Yukawa couplings and the mirror map, based on the Picard-Fuchs equation. (Our strategy is a variant of the method used by Candelas, de la Ossa, Green, and Parkes…

### Rational curves on Calabi-Yau manifolds: verifying predictions of mirror symmetry

- Mathematics
- 1993

Mirror symmetry, a phenomenon in superstring theory, has recently been used to give tentative calculations of several numbers in algebraic geometry. In this paper, the numbers of lines and conics on…

### Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces

- Mathematics
- 1993

Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed within the framework of toric geometry. It allows to establish mirror symmetry of Calabi-Yau spaces for…

### Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

- Mathematics
- 1993

We consider families ${\cal F}(\Delta)$ consisting of complex $(n-1)$-dimensional projective algebraic compactifications of $\Delta$-regular affine hypersurfaces $Z_f$ defined by Laurent polynomials…

### Mirror maps and instanton sums for complete intersections in weighted projective space

- Mathematics
- 1994

We consider a class of Calabi-Yau compactifications which are constructed as a complete intersection in weighted projective space. For manifolds with one Kahler modulus we construct the mirror…