Geometric monodromy --- semisimplicity and maximality

Geometric Phases and Monodromy at Singularities

Geometric Monodromy around the Tropical Limit

Let {Vq}q be a complex one-parameter family of smooth hypersurfaces in a toric variety. In this paper, we give a concrete description of the monodromy transformation of {Vq}q around q = ∞ in terms of tropical geometry. The main tool is the tropical localization introduced by Mikhalkin.

Monodromy and geometric phases in classical and quantum mechanics

Stuart Althorpe Geometric phase effects in reaction dynamics If a reaction path follows a closed loop that encircles a conical intersection (electronic degeneracy), then the path will acquire a geometric phase. This talk will describe recent work aimed at finding out what (if any) is the effect of this phase on the mechanism and rate of a chemical reaction. First, we discuss systems in which th...

Hamiltonian monodromy via geometric quantization and theta functions

In this paper, Hamiltonian monodromy is addressed from the point of view of geometric quantization, and various differential geometric aspects thereof are dealt with, all related to holonomies of suitable flat connections. In the case of completely integrable Hamiltonian systems with two degrees of freedom, a link is established between monodromy and (2-level) theta functions, by resorting to t...

Deflationism, Conservativeness and Maximality

This schema, restricted in some way in order to avoid the paradoxes, is said to capture the whole content of our intuitive notion of truth. In effect truth is called sometimes a “purely logical” device a predicate devoid of content, which doesn’t express any substantial relation between our language and the world. According to one proposal, conservativeness is a good explication of this “conten...