Gauge theory and differential invariants

Gauge theory and smooth invariants

Winter 2015 & Winter 2013
Dr. Ben Mares

$2\,g(\Sigma)-2 \, \geq \, \left|\left\langle c_1(\mathfrak s),\,\left[\Sigma\right]\right\rangle\right|+\left[\Sigma\right]\cdot\left[\Sigma\right]$
(the adjunction inequality)

Location and time

Room 136, from Thursday 29 January, Tuesdays 9:45-11:00 and Thursdays 11:00-12:30.


  • Second problem set posted, due Thursday 12th.
  • I always appreciate constructive feedback about my teaching via this anonymous survey.

Lecture notes

Draft in progress

Problem sets

Old stuff

Course Outline

Problem sets




The big picture is beautifully described in For the details of Donaldson theory, see For the details of Seiberg-Witten theory, see