We describe the quantization of 2-plectic manifolds as they arise in the context of the
quantum geometry of M-branes and non-geometric flux compactifications of closed string …

We formalize Feynman's construction of the quantum mechanical path integral. To do this,
we shift the emphasis in differential geometry from the tangent bundle onto the pair …

We expound upon our (polarization-free) definition of the quantization map in geometric
quantization, which is justified using the Poisson sigma model and pieces together most …

We canonically quantize a Poisson manifold to a Lie 2-groupoid, complete with a
quantization map, and show that it relates geometric and deformation quantization: the …

In this paper, we discuss several relations between the existence of invariant volume forms
for Hamiltonian systems on Poisson–Lie groups and the unimodularity of the Poisson–Lie …

We review the various contexts in which quantized 2-plectic manifolds are expected to
appear within closed string theory and M-theory. We then discuss how the quantization of a …

Using tools from Dirac geometry and through an explicit construction, we show that every
Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic …

We discuss a framework for quantizing a Poisson manifold via the quantization of its
symplectic groupoid, combining the tools of geometric quantization with the results of …

We construct symplectic groupoids integrating log-canonical Poisson structures on cluster
varieties of type A and X over both the real and complex numbers. Extensions of these …

Using tools from Dirac geometry and through an explicit construction, we show that every
Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic …