Add to ORKGIn this talk I will discuss some general aspects on quantum curves. I will emphasize the need to go beyond WKB-like perturbative schemes, and the usefulness of working with actual Hilbert spaces. I will then present three mathematical mechanisms in our theory of quantum mirror curves which make it possible to go from the discrete world of quantum mechanics to the continuous world of enumerative geometry: Fredholm determinants, large $N$ limits, and Wigner distributions. I will also list some interesting open problems for the future.Non UBCUnreviewedAuthor affiliation: Université de GenèveFacult
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Acting within the framework of geometric quantum mechanics, an interpretation of quantum uncertaint...
In this talk I will discuss some general aspects on quantum curves. I will emphasize the need to go...
Topological strings on toric Calabi-Yau threefolds can be defined non-perturbatively in terms of a n...
© 2018 World Scientific Publishing Co. Pte. Ltd. This chapter aims at giving an introduction to the ...
The paper aims at giving an introduction to the notion of quantum curves. The main purpose ...
ABSTRACT. This is a survey article describing the relationship between quantum curves and topologica...
This dissertation explores a 2015 conjecture of Codesido-Grassi-Marino in topologicalstring theory t...
In modern mathematical and theoretical physics various generalizations, in particular supersymmetric...
We study the non-perturbative quantum geometry of the open and closed topological string on the reso...
In this article we continue our study of chiral fermions on a quantum curve. This system is embedded...
In this article we continue our study of chiral fermions on a quantum curve. This system is embedded...
Abstract. Quantum geometry, i.e., the quantum theory of intrinsic and extrinsic spatial geometry, is...
One says that a pair (P,Q) of ordinary differential operators specify a quantum curve if [P...
We show that when two boundary arcs of a Liouville quantum gravity random surface are conformally we...
J-holomorphic curves revolutionized the study of symplectic geometry when Gromov first introduced th...
Acting within the framework of geometric quantum mechanics, an interpretation of quantum uncertaint...
In this talk I will discuss some general aspects on quantum curves. I will emphasize the need to go...
Topological strings on toric Calabi-Yau threefolds can be defined non-perturbatively in terms of a n...
© 2018 World Scientific Publishing Co. Pte. Ltd. This chapter aims at giving an introduction to the ...
The paper aims at giving an introduction to the notion of quantum curves. The main purpose ...
ABSTRACT. This is a survey article describing the relationship between quantum curves and topologica...
This dissertation explores a 2015 conjecture of Codesido-Grassi-Marino in topologicalstring theory t...
In modern mathematical and theoretical physics various generalizations, in particular supersymmetric...
We study the non-perturbative quantum geometry of the open and closed topological string on the reso...
In this article we continue our study of chiral fermions on a quantum curve. This system is embedded...
In this article we continue our study of chiral fermions on a quantum curve. This system is embedded...
Abstract. Quantum geometry, i.e., the quantum theory of intrinsic and extrinsic spatial geometry, is...
One says that a pair (P,Q) of ordinary differential operators specify a quantum curve if [P...
We show that when two boundary arcs of a Liouville quantum gravity random surface are conformally we...
J-holomorphic curves revolutionized the study of symplectic geometry when Gromov first introduced th...
Acting within the framework of geometric quantum mechanics, an interpretation of quantum uncertaint...