(our) Interactions in Algebra Geometry and Topology https://ourinteractionsinagt26.wiki/doku/ 2026-04-30T07:31:10+00:00 (our) Interactions in Algebra Geometry and Topology https://ourinteractionsinagt26.wiki/doku/ https://ourinteractionsinagt26.wiki/doku/lib/exe/fetch.php?media=wiki:dokuwiki.svg text/html 2026-01-18T16:41:09+00:00 admin (admin@undisclosed.example.com) start https://ourinteractionsinagt26.wiki/doku/doku.php?id=start&rev=1768754469&do=diff Welcome to the collaborative wiki for Interactions in Algebra, Geometry, and Topology; a reading course in the School of Mathematics at the University of Edinburgh. The topic of this year's incarnation is the differential geometry of gauge theory: vector and principal bundles, connections, Chern-Weil theory, and instantons. text/html 2026-01-18T16:40:42+00:00 admin (admin@undisclosed.example.com) navigation https://ourinteractionsinagt26.wiki/doku/doku.php?id=wiki:navigation&rev=1768754442&do=diff * Start * Lectures * Workshops * Books text/html 2026-01-18T16:39:29+00:00 admin (admin@undisclosed.example.com) workshops - ↷ Page moved from workshops to wiki:workshops https://ourinteractionsinagt26.wiki/doku/doku.php?id=workshops&rev=1768754369&do=diff text/html 2026-01-18T16:39:29+00:00 admin (admin@undisclosed.example.com) workshops - ↷ Page moved from workshops to wiki:workshops https://ourinteractionsinagt26.wiki/doku/doku.php?id=wiki:workshops&rev=1768754369&do=diff Workshops text/html 2026-01-18T16:39:29+00:00 admin (admin@undisclosed.example.com) lectures - ↷ Page moved from lectures to wiki:lectures https://ourinteractionsinagt26.wiki/doku/doku.php?id=lectures&rev=1768754369&do=diff text/html 2026-01-18T16:39:29+00:00 admin (admin@undisclosed.example.com) lectures - ↷ Page moved from lectures to wiki:lectures https://ourinteractionsinagt26.wiki/doku/doku.php?id=wiki:lectures&rev=1768754369&do=diff Lectures Tentative lecture plan is as follows: Week 1 Topics: Review of differential geometry * Topological and smooth manifolds, * Vector and tensor fields, * Algebra of differential forms, * De Rham Cohomology Reading: * Taubes Ch 1 text/html 2026-01-18T16:39:29+00:00 admin (admin@undisclosed.example.com) books - ↷ Page moved from books to wiki:books https://ourinteractionsinagt26.wiki/doku/doku.php?id=books&rev=1768754369&do=diff text/html 2026-01-18T16:39:29+00:00 admin (admin@undisclosed.example.com) books - ↷ Page moved from books to wiki:books https://ourinteractionsinagt26.wiki/doku/doku.php?id=wiki:books&rev=1768754369&do=diff Books Here is the list of books from the reading list at the start of the course. Links to PDFs and suchlike will be added in due course. Hopefully as the semester progresses, the field will narrow down. * Tu, Loring, Differential Geometry : Connections, Curvature, and Characteristic Classes. 1st ed. 2017 text/html 2026-01-18T16:34:37+00:00 admin (admin@undisclosed.example.com) site_notice - created https://ourinteractionsinagt26.wiki/doku/doku.php?id=wiki:site_notice&rev=1768754077&do=diff Welcome to our interactions in algebra geometry and topology.