Navigating moduli space with complex twists

Navigating moduli space with complex twists

We discuss a common framework for studing twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics ins the moduli space of isoperiodic 1-forms.

The Moduli Space of Complex Lagrangian Submanifolds

Hexanions: 6D Space for Twists

Some of the popular representations for the motion of a rigid object are 4×4 real matrices or combinations of vector and quaternion [Ale02][DKL98]. A drawback of using 4 × 4 real matrices is their over-general purpose. A real matrix is capable of representing a far too rich set of transformations, for instance scaling and shear. Another drawback with matrices is the accumulation of numerical er...

Navigating Information Space with Tangible Media

Navigational Blocks is a tangible user interface that facilitates retrieval of historical stories in a tourist spot. Orientations, movements, and relative positions of physical Blocks support visitor navigation and exploration in a virtual gallery of information. The goal is to bridge the gap and explore the boundary between the physical environment with a virtual information space. Visitors to...

Navigating negative quantificational space*

This paper reports the findings from an interconnected set of experiments designed to assess children’s knowledge of the semantic interactions between negation and quantified NPs. Our main finding is that young children, unlike adults, systematically interpret these elements on the basis of their position in overt syntax. We argue that this observation can be derived from an interplay between f...