One of the main ways in which I keep my finger on the pulse of what is hot now in low dimensional topology is to write lots and lots of reviews, both for… 743 more words

## Tags » Quantum Topology

#### MOO is classical

The simplest quantum 3-manifold invariant is the Murakami-Ohtsuki-Okada (MOO) invariant. It comes from Chern-Simons theory in the way that the Reshetikhin-Turaev invariant comes from Chern-Simons Theory. 1,270 more words

#### Jones's new polynomial

Check out this exciting new preprint by Vaughan Jones!

1,004 more wordsV.F.R. Jones, Some Unitary Representations of Thompson’s Groups and , arXiv:1412.7740.

#### Understanding the anomaly

I’ve recently been looking at the following paper in which -TQFT anomalies are treated carefully and various old constructions of Turaev and Walker are elucidated: 1,082 more words

#### A celebration of diagrammatic algebra

Relaxing from my forays into information and computation, I’ve recently been glancing through my mathematical sibling Kenta Okazaki’s thesis, published as:

987 more wordsK. Okazaki, The state sum invariant of 3â€“manifolds constructed from the linear skein.

#### Tangle Machines- Positioning claim

Avishy Carmi and I are in the process of finalizing a preprint on what we call “tangle machines”, which are knot-like objects which store and process information. 1,374 more words

#### The next big thing in quantum topology?

The place to be in May for a quantum topologist is Vietnam. After some wonderful-sounding mini-courses in Hanoi, the party with move to Nha Trang (dream place to visit) for a… 542 more words