Imperial College London
Portrait Picture

Professor Richard Thomas FRS

Faculty of Natural Sciences, Department of Mathematics

Royal Society Research Professor (Pure Mathematics)
 
 
 
//

Contact

 

richard.thomas Website

 
 
//

Location

 

659Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Gholampour:2020:10.1112/S0010437X20007290,
author = {Gholampour, A and Thomas, R},
doi = {10.1112/S0010437X20007290},
journal = {Compositio Mathematica},
pages = {1623--1663},
title = {Degeneracy loci, virtual cycles and nested Hilbert schemes II},
url = {http://dx.doi.org/10.1112/S0010437X20007290},
volume = {156},
year = {2020}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We express nested Hilbert schemes of points and curves ona smooth projective surface as “virtual resolutions” of degeneracy lociof maps of vector bundles on smooth ambient spaces.We show how to modify the resulting obstruction theories to producethe virtual cycles of Vafa-Witten theory and other sheaf-counting prob-lems.  The result is an effective way of calculating invariants (VW, SW,local PT and local DT) via Thom-Porteous-like Chern class formulae.
AU  - Gholampour,A
AU  - Thomas,R
DO  - 10.1112/S0010437X20007290
EP  - 1663
PY  - 2020///
SN  - 0010-437X
SP  - 1623
TI  - Degeneracy loci, virtual cycles and nested Hilbert schemes II
T2  - Compositio Mathematica
UR  - http://dx.doi.org/10.1112/S0010437X20007290
UR  - http://hdl.handle.net/10044/1/79727
VL  - 156
ER  -
Download