Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)

L. Illusie, Complexe cotangent et déformations. I , Lecture Notes in Mathematics, 239, Springer-Verlag, Berlin – New York, 1971

1971

Earlier work this paper cites.

by same author, Questions on provisional Coulomb branches of 3 3 -dimensional 𝒩 = 4 \mathcal{N}=4 gauge theories , Sūrikaisekikenkyūsho Kōkyūroku (2015), no. 1977, 57–76, arXiv:1510.03908 [math-ph]

Original

1977

Earlier work this paper cites.

N. J. Hitchin, On the construction of monopoles , Comm. Math. Phys. 89

1983

Earlier work this paper cites.

G. Lusztig, Singularities, character formulas, and a q-analog of weight multiplicities , Astérisque 101-102

1983

Earlier work this paper cites.

S. K. Donaldson, Nahm’s equations and the classification of monopoles , Comm. Math. Phys. 96

1984

Earlier work this paper cites.

J. Hurtubise, Monopoles and rational maps: a note on a theorem of Donaldson , Comm. Math. Phys. 100

1985

Earlier work this paper cites.

P. B. Kronheimer, Monopoles and Taub-NUT metrics , Master’s thesis, Oxford, 1985

1985

Earlier work this paper cites.

H. Matsumura, Commutative ring theory , Cambridge Studies in Advanced Mathematics, 8, Cambridge University Press, Cambridge, 1986

1986

Earlier work this paper cites.

P. Deligne, Le déterminant de la cohomologie , Contemp. Math. 67

1987

Earlier work this paper cites.

M. Atiyah and N. Hitchin, The geometry and dynamics of magnetic monopoles , M. B. Porter Lectures, Princeton University Press, Princeton, NJ, 1988

1988

Earlier work this paper cites.

J. Hurtubise and M. K. Murray, On the construction of monopoles for the classical groups , Comm. Math. Phys. 122

1989

Earlier work this paper cites.

by same author, The classification of monopoles for the classical groups , Comm. Math. Phys. 120

1989

Earlier work this paper cites.

M. Kashiwara and P. Schapira, Sheaves on manifolds , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 292, Springer-Verlag, Berlin, 1990, With a chapter in French by Christian Houzel

1990

Earlier work this paper cites.

G. Lusztig, Introduction to quantum groups , Progress in Mathematics, vol. 110, Birkhäuser Boston Inc., Boston, MA, 1993

1993

Earlier work this paper cites.

H. Nakajima, Monopoles and Nahm’s equations , Einstein metrics and Yang-Mills connections (Sanda, 1990), Lecture Notes in Pure and Appl. Math., vol. 145, Dekker, New York, 1993, pp. 193–211

1993

Earlier work this paper cites.

by same author, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras , Duke Math. J. 76

1994

Earlier work this paper cites.

V. Ginzburg, Perverse sheaves on a Loop group and Langlands’ duality , ArXiv e-prints (1995), arXiv:alg-geom/9511007 [alg-geom]

1995

Earlier work this paper cites.

M. Kashiwara, On crystal bases , CMS Conf. Proc. 16

1995

Earlier work this paper cites.

by same author, Symmetric functions and Hall polynomials , second ed., Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, 1995, With contributions by A. Zelevinsky, Oxford Science Publications

1995

Earlier work this paper cites.

J. de Boer, K. Hori, H. Ooguri, Y. Oz, and Z. Yin, Mirror symmetry in three-dimensional gauge theories, SL ⁡ ( 2 , ℤ ) {\rm SL}(2,\mathbb{Z}) and D-brane moduli spaces , Nuclear Phys. B 493

1997

Earlier work this paper cites.

J. de Boer, K. Hori, H. Ooguri, and Y. Oz, Mirror symmetry in three-dimensional gauge theories, quivers and D-branes , Nuclear Phys. B 493

1997

Earlier work this paper cites.

A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics , Nuclear Phys. B 492

1997

Earlier work this paper cites.

A. A. Kirillov, Jr., Lectures on affine Hecke algebras and Macdonald’s conjectures , Bull. Amer. Math. Soc. (N.S.) 34

1997

Earlier work this paper cites.

H. Weyl, The classical groups, their invariants and representations , Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997, Fifteenth printing, Princeton Paperbacks

1997

Earlier work this paper cites.

S. A. Cherkis and A. Kapustin, Singular monopoles and supersymmetric gauge theories in three dimensions , Nuclear Phys. B 525

1998

Earlier work this paper cites.

S. Jarvis, Euclidean monopoles and rational maps , Proc. London Math. Soc. (3) 77

1998

Earlier work this paper cites.

by same author, Quiver varieties and Kac-Moody algebras , Duke Math. J. 91

1998

Earlier work this paper cites.

M. Finkelberg and I. Mirković, Semi-infinite flags. I. Case of global curve ℙ 1 {\mathbb{P}}^{1} , Amer. Math. Soc. Transl. Ser. 2 194

1999

Earlier work this paper cites.

D. Tong, Three-dimensional gauge theories and A ​ D ​ E ADE monopoles , Phys. Lett. B 448

1999

Earlier work this paper cites.

I. G. Macdonald, Orthogonal polynomials associated with root systems , Sém. Lothar. Combin. 45

2000

Earlier work this paper cites.

T. M. W. Nye and M. A. Singer, An L 2 L^{2} -index theorem for Dirac operators on S 1 × ℝ 3 S^{1}\times\mathbb{R}^{3} , J. Funct. Anal. 177

2000

Cited alongside, same era.

A. Braverman and D. Gaitsgory, Crystals via the affine Grassmannian , Duke Math. J. 107

2001

Cited alongside, same era.

W. Crawley-Boevey, Geometry of the moment map for representations of quivers , Compositio Math. 126

2001

Cited alongside, same era.

by same author, Quiver varieties and tensor products , Invent. Math. 146

2001

Cited alongside, same era.

B. C. Ngô and P. Polo, Résolutions de Demazure affines et formule de Casselman-Shalika géométrique , J. Algebraic Geom. 10

2001

Cited alongside, same era.

T. M. W. Nye, The geometry of calorons , Ph.D. thesis, U. of Edinburgh, 2001

W. Slofstra, A Brylinski filtration for affine Kac-Moody algebras , Adv. Math. 229

2012

Later among the works it cites.

by same author, Pursuing the double affine Grassmannian III: Convolution with affine zastava , Mosc. Math. J. 13

2013

Later among the works it cites.

by same author, Semi-infinite Schubert varieties and quantum K-theory of flag manifolds , J. Amer. Math. Soc. 27

2014

Later among the works it cites.

by same author, Twisted zastava and q-Whittaker functions , ArXiv e-prints (2014), arXiv:1410.2365 [math.AG]

Original

2014

Later among the works it cites.

S. Cremonesi, G. Ferlito, A. Hanany, and N. Mekareeya, Coulomb branch and the moduli space of instantons , JHEP 1412

Original

2014

Later among the works it cites.