Hiraku Nakajima

S-dual of Hamiltonian

\mathbf G

spaces and relative Langlands duality

#1

Hiraku Nakajima

(Sep 10, 2024)

e-Print:
- 2409.06303 [math.AG]

pdf

reference search2 citations

Intersection cohomology groups of instanton moduli spaces and cotangent bundles of affine flag varieties

#2

Hiraku Nakajima

(Jun 1, 2023)

e-Print:
- 2306.00373 [math.RT]

pdf

reference search0 citations

A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras

#3

Hiraku Nakajima

(Jan 19, 2022)

e-Print:
- 2201.08386 [math.RT]

pdf

reference search5 citations

Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

#4

et al.

(May 11, 2020)

Published in:
- J.Geom.Phys. 168 (2021) 104311
•
e-Print:
- 2005.05347 [hep-th]

pdfDOI

reference search49 citations

Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras.

#5

Hiraku Nakajima
(
- Tokyo U., IPMU and
- Kyoto U.
)

(Jan 11, 2020)

Published in:
- J.Math.(Kyoto) 61 (2021) 2, 377-397
•
e-Print:
- 2001.03834 [math.AG]

pdfDOI

reference search3 citations

Coulomb branches of quiver gauge theories with symmetrizers

#6

(Jul 15, 2019)

Published in:
- J.Eur.Math.Soc. 25 (2021) 1, 203-230
•
e-Print:
- 1907.06552 [math.QA]

DOI

reference search42 citations

Towards geometric Satake correspondence for Kac-Moody algebras, Cherkis bow varieties and affine Lie algebras of type A.(Vers une correspondance géométrique de Satake pour les algèbres de Kac-Moody – Variétés d’arc de Cherkis et algèbres de Lie affines de type A.)

#7

Hiraku Nakajima
(
- Kyoto U., RIMS and
- Tokyo U., IPMU
)

(Oct 9, 2018)

Published in:
- Ann. Sci. Éc. Norm. Supér. (4) 56 (2023) 6, 1777-1824
•
e-Print:
- 1810.04293 [math.RT]

pdfDOI

reference search14 citations

3d TQFTs from Argyres–Douglas theories

#8

Mykola Dedushenko
(
- Caltech
)
,
Sergei Gukov
(
- Caltech
)
,
Hiraku Nakajima
(
- Tokyo U., IPMU
)
,
Du Pei
(
- Caltech and
- Aarhus U. and
- Aarhus U., Math. Sci.
)
,
Ke Ye
(
- Caltech
)

(Sep 12, 2018)

Published in:
- J.Phys.A 53 (2020) 43, 43LT01
•
e-Print:
- 1809.04638 [hep-th]

pdfDOI

reference search45 citations

Line bundles over Coulomb branches

#9

(May 30, 2018)

Published in:
- Adv.Theor.Math.Phys. 25 (2021) 4, 957-993
•
e-Print:
- 1805.11826 [math.RT]

pdfDOI

reference search17 citations

Instantons on ALE spaces for classical groups

#10

Hiraku Nakajima
(
- Kyoto U. (main)
)

(Jan 18, 2018)

e-Print:
- 1801.06286 [math.DG]

pdf

reference search4 citations

Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories.

#11

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Jun 16, 2017)

e-Print:
- 1706.05154 [math.RT]

pdfDOI

reference search24 citations

Ring objects in the equivariant derived Satake category arising from Coulomb branches (with an appendix by Gus Lonergan)

#12

Alexander Braverman
(
- Toronto U., Math. Dept. and
- Perimeter Inst. Theor. Phys.
)
,
Michael Finkelberg
(
- Skoltech and
- Higher Sch. of Economics, Moscow
)
,
Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Jun 7, 2017)

Published in:
- Physics 23 (2019) 253-344
•
e-Print:
- 1706.02112 [math.RT]

pdf

reference search36 citations

Coproduct for Yangians of affine Kac–Moody algebras

#13

(Jan 18, 2017)

Published in:
- Adv.Math. 338 (2018) 865-911
•
e-Print:
- 1701.05288 [math.QA]

pdfDOI

reference search45 citations

Introduction to a provisional mathematical definition of Coulomb branches of

3

-dimensional

\mathcal N=4

gauge theories

#14

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Dec 28, 2016)

e-Print:
- 1612.09014 [math.RT]

pdf

reference search4 citations

Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras

#15

Ryosuke Kodera
(
- Kyoto U.
)
,
Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Aug 2, 2016)

Published in:
- Proc.Symp.Pure Math. 98 (2018) 49-78
•
Contribution to:
- String Math 2016, 49-78
•
e-Print:
- 1608.00875 [math.RT]

pdf

reference search34 citations

Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type

A

#16

Hiraku Nakajima
(
- Unlisted
)
,
Yuuya Takayama
(
- Unlisted
)

(Jun 6, 2016)

e-Print:
- 1606.02002 [math.RT]

pdf

reference search23 citations

Lectures on perverse sheaves on instanton moduli spaces

#17

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Apr 21, 2016)

e-Print:
- 1604.06316 [math.RT]

pdf

reference search4 citations

Coulomb branches of

3d

\mathcal{N}=4

quiver gauge theories and slices in the affine Grassmannian

#18

(Apr 12, 2016)

Published in:
- Adv.Theor.Math.Phys. 23 (2019) 75-166
•
e-Print:
- 1604.03625 [math.RT]

pdfDOI

reference search160 citations

Towards a mathematical definition of Coulomb branches of

3

-dimensional

\mathcal{N} = 4

gauge theories, II

#19

(Jan 14, 2016)

Published in:
- Adv.Theor.Math.Phys. 22 (2018) 1071-1147
•
e-Print:
- 1601.03586 [math.RT]

pdfDOI

reference search228 citations

Questions on provisional Coulomb branches of

3

-dimensional

\mathcal N=4

gauge theories

#20

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Oct 13, 2015)

e-Print:
- 1510.03908 [math-ph]

pdf

reference search25 citations

Towards a mathematical definition of Coulomb branches of

3

-dimensional

\mathcal{N}=4

gauge theories, I

#21

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Mar 12, 2015)

Published in:
- Adv.Theor.Math.Phys. 20 (2016) 595-669
•
e-Print:
- 1503.03676 [math-ph]

pdflinksDOI

reference search195 citations

Instanton moduli spaces and

\mathscr W

-algebras

#22

(Jun 9, 2014)

e-Print:
- 1406.2381 [math.QA]

pdf

reference search43 citations

Refined Chern-Simons theory and Hilbert schemes of points on the plane

#23

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Nov, 2012)

Published in:
- Electron.Res.Announ.AMS 2014 305
•
e-Print:
- 1211.5821 [math.AG]

pdfDOI

reference search6 citations

Quiver varieties and tensor products, II

#24

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Jul, 2012)

e-Print:
- 1207.0529 [math.QA]

pdfDOI

reference search2 citations

Handsaw quiver varieties and finite W-algebras

#25

Hiraku Nakajima
(
- Kyoto U., RIMS
)

(Jul, 2011)

Published in:
- Moscow Math.J. 12 (2012) 633
•
e-Print:
- 1107.5073 [math.QA]

pdf

reference search31 citations

Hiraku Nakajima(
Kyoto U.
)

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Hiraku Nakajima(Kyoto U.)

Date of paper

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Hiraku Nakajima(
Kyoto U.
)