Modern Geometry and Physics

Dr. Marina Logares recently presented   an invited talk at the workshop “Modern Geometry and Physics”, 19-21 September, which was part of the LMS Midlands Regional Meeting held in Loughborough


Title: “Donaldson Uhlenbeck compactification for the moduli space of framed sheaves on a Deligne-Mumford stack”

Abstract: Framed sheaves over surfaces first appeared as a generalisation of framed SU(r) instantons on S^4. Later, Uhlenbeck provided a compactification for the moduli space of framed SU(r) instantons which through the Donaldson correspondence and the work of Li and Morgan produced the so called Donaldson-Uhlenbeck compactification of the moduli space of framed sheaves. We want to focus on a further generalisation to the moduli space of framed sheaves on Deligne-Mumford stacks and construct an analogous compactification. This is work in progress with U. Bruzzo.

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