Geometry & Topology Seminar

Note: Special time and room

Sergey Cherkis, University of Arizona

"Compactification of Monopole Moduli Spaces"

Monopole's dynamic is well approximated by the geodesic motion on its moduli space.  This provided the initial motivation for studying monopole moduli spaces.  Recently, these spaces acquired new significance as they deliver numerous examples of gravitational instantons and of spaces of vacua of quantum field theories.  In this light the L2 cohomology of these spaces is particularly important.

This talk will focus on the case of doubly periodic monopoles, computing the number of their moduli, identifying the parameters in the problem, and describing their moduli spaces as complex varieties.  We shall also compute the asymptotic metric on their moduli spaces and describe their natural compactification, with the view to computing their cohomology.

MC 5479