Mathematical Field Notes

Archive for the ‘Symplectic geometry’ Category

Kronheimer’s argument: Small resolutions and Dehn twists

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I want to amplify an expository argument I gave in a recent lecture which shows that the squared Dehn twist on a symplectic 4-manifold is smoothly isotopic to the identity map. This is an old argument of Kronheimer and I only managed to sketch it hurriedly in the lecture. A few people have asked me to explain this to them in the past, so here’s an explanation to which I can point people in future.

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Written by Jonny Evans

January 27, 2013 at 5:53 pm

Symplectic/Contact Geometry VII at Les Diablerets, Day 1

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I’m currently in Switzerland at the seventh “Symplectic Geometry, Contact Geometry and Interactions” Workshop funded by CAST. This is a yearly conference which started at the same time I started my PhD so I have a great fondness for these workshops. This one is in the mountains, which makes me even fonder…

A mountain.

A mountain.

After three excellent talks today I decided to act as a “maths journalist” and summarise the main ideas from the talks in this blog. I may not be able to keep this up, as there’s six talks tomorrow and too much snow to enjoy. Today’s talks were:

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Written by Jonny Evans

January 11, 2013 at 1:24 am