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Grant Award View - GA28413

Classical and quantum invariants of low-dimensional manifolds

Contact Details

ARC NCGP General Enquiries

Phone:
02 6281 6600

Email Address:

GA ID:
GA28413
Agency:
Australian Research Council
Approval Date:
27-Nov-2018
Publish Date:
18-Dec-2018
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
20-Jun-2019 to 19-Jun-2022
Original: 1-Jan-2019 to 31-Dec-2021
Value (AUD):
$300,000.00 (GST inclusive where applicable)
Variations:

Ad hoc/One-off:
No
Aggregate Grant Award:
No

PBS Program Name:
ARC 18/19 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Classical and quantum invariants of low-dimensional manifolds
Purpose:
This project aims to advance our understanding of knots and 3-dimensional spaces, which arise naturally in fields as diverse as physics, computer graphics, chemistry and biology. Recent ideas from quantum field theory link physics to topology in dimensions 3 and 4, leading to powerful invariants of knots and 3-dimensional manifolds that include the Jones polynomial and the 3D-index. This project aims to resolve key questions relating these quantum invariants to classical topology and geometry. The project will have a major impact in low-dimensional topology, and lead to deep and unexpected connections between mathematics and mathematical physics.

GO ID:
GO Title:
Discovery Projects commencing in 2019
Internal Reference ID:
DP19 Round 1
Selection Process:
Targeted or Restricted Competitive

Confidentiality - Contract:
No
Confidentiality - Outputs:
No

Grant Recipient Details

Recipient Name:
The University of Melbourne
Recipient ABN:
84 002 705 224

Grant Recipient Location

Suburb:
CARLTON
Town/City:
CARLTON
Postcode:
3053
State/Territory:
VIC
Country:
AUSTRALIA

Grant Delivery Location

State/Territory:
VIC
Postcode:
3053
Country:
AUSTRALIA

Contact Details

ARC NCGP General Enquiries

Phone:
02 6281 6600

Email Address: