Geodesic
Quasimaps and stable pairs
Forum of Mathematics, Sigma, Tome 9 (2021)

Voir la notice de l'article provenant de la source Cambridge University Press

We prove an equivalence between the Bryan-Steinberg theory of $\pi $-stable pairs on $Y = \mathcal {A}_{m-1} \times \mathbb {C}$ and the theory of quasimaps to $X = \text{Hilb}(\mathcal {A}_{m-1})$, in the form of an equality of K-theoretic equivariant vertices. In particular, the combinatorics of both vertices are described explicitly via box counting. Then we apply the equivalence to study the implications for sheaf-counting theories on Y arising from 3D mirror symmetry for quasimaps to X, including the Donaldson-Thomas crepant resolution conjecture. 
@article{10_1017_fms_2021_25,
     author = {Henry Liu},
     title = {Quasimaps and stable pairs},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {9},
     year = {2021},
     doi = {10.1017/fms.2021.25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.25/}
}
TY  - JOUR
AU  - Henry Liu
TI  - Quasimaps and stable pairs
JO  - Forum of Mathematics, Sigma
PY  - 2021
VL  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.25/
DO  - 10.1017/fms.2021.25
LA  - en
ID  - 10_1017_fms_2021_25
ER  - 
%0 Journal Article
%A Henry Liu
%T Quasimaps and stable pairs
%J Forum of Mathematics, Sigma
%D 2021
%V 9
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.25/
%R 10.1017/fms.2021.25
%G en
%F 10_1017_fms_2021_25
Henry Liu. Quasimaps and stable pairs. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.25

Cité par Sources :