Tags » Tqft

quantum super-A-polynomials

wordpress.com blog link to qsuperApoly.pdf qsuperApoly.pdf

qsuperApoly.tex on github : ernestyalumni

Abstract/Executive Summary

I cover background material for Chern-Simons Theory and other areas for quantum super-A-polynomials. 523 more words


Higher Gauge Theory in Edinburgh - Part I

The main thing happening in my end of the world is that it’s relocated from Europe back to North America. I’m taking up a teaching postdoc position in the Mathematics and Computer Science department at… 1,425 more words


TQFT - elementary examples and consequences

In TQFT Axioms – 1, I shared the axioms for a topological quantum field theory as detailed in Kock.  Any functor meeting these axioms count.   1,004 more words

TQFT's in Vienna - Part 2

To continue from the previous post

Twisted Differential Cohomology

Ulrich Bunke gave a talk introducing differential cohomology theories, and Thomas Nikolaus gave one about a twisted version of such theories (unfortunately, perhaps in the wrong order). 2,156 more words

Category Theory

TQFT's in Vienna - Part 1

So I spent a few weeks at the Erwin Schrodinger Institute in Vienna, doing a short residence as part of the program “Modern Trends in Topological Quantum Field Theory… 1,674 more words


A Slapdash Introduction to TQFTs from the Ground Up, Part III.

In parts I and II, I defined the notions of manifolds and cobordisms which make up some of the mathematical machinery for the general relativity side of topological quantum field theory. 321 more words

A Slapdash Introduction to TQFTs from the Ground Up, Part I.

Topological quantum field theory is an interest of mine which has grown in intensity over the last year. I have, however, made the unfortunate mistake of attempting to describe some of these concepts to family and friends with results ranging from eyes-glazed-over incomprehension to “That’s really cool but my brain hurts now.” As a result of this, I have decided to try to improve my exposition by way of writing a cursory introduction to the subject requiring little more than a familiarity with sets, functions, and vector spaces. 401 more words