1.

Twisted indices of 3d N $$ \mathcal{N} $$ = 4 gauge theories and enumerative geometry of quasimaps
/ Bullimore, Mathew ; Ferrari, Andrea ; Kim, Heeyeon
We explore the geometric interpretation of the twisted index of 3d N $$ \mathcal{N} $$ = 4 gauge theories on S 1 × Σ where Σ is a closed Riemann surface. [...]
Published in JHEP 1907 (2019) 014
10.1007/JHEP07(2019)014
arXiv:1812.05567
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2.

Seifert fibering operators in 3d N = 2 $$ \mathcal{N}=2 $$ theories
/ Closset, Cyril ; Kim, Heeyeon ; Willett, Brian
We study 3d N = 2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories on closed oriented Seifert manifolds — circle bundles over an orbifold Riemann surface —, with a gauge group G given by a product of simplyconnected and/or unitary Lie groups. [...]
Published in JHEP 1811 (2018) 004
10.1007/JHEP11(2018)004
arXiv:1807.02328
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3.

N $$ \mathcal{N} $$ = 1 supersymmetric indices and the fourdimensional Amodel
/ Closset, Cyril ; Kim, Heeyeon ; Willett, Brian
We compute the supersymmetric partition function of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories with an R symmetry on ℳ 4 ≅ ℳ g , p × S 1 $$ {\mathrm{\mathcal{M}}}_4\cong {\mathrm{\mathcal{M}}}_{g,p}\times {S}^1 $$ , a principal elliptic fiber bundle of degree p over a genus g Riemann surface, Σ g . [...]
Published in JHEP 1708 (2017) 090
10.1007/JHEP08(2017)090
arXiv:1707.05774
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4.

Supersymmetric partition functions and the threedimensional Atwist
/ Closset, Cyril ; Kim, Heeyeon ; Willett, Brian
We study threedimensional N = 2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories on ℳ g , p $$ {\mathrm{\mathcal{M}}}_{g,p} $$ , an oriented circle bundle of degree p over a closed Riemann surface, Σ g . [...]
Published in JHEP 1703 (2017) 074
10.1007/JHEP03(2017)074
arXiv:1701.03171
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5.

Comments on twisted indices in 3d supersymmetric gauge theories
/ Closset, Cyril ; Kim, Heeyeon
We study threedimensional N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on Σ g × S 1 with a topological twist along Σ g , a genus g Riemann surface. [...]
Published in JHEP 1608 (2016) 059
10.1007/JHEP08(2016)059
arXiv:1605.06531
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6.

Mutation, Witten index, and quiver invariant
/ Kim, Heeyeon ; Lee, SeungJoo ; Yi, Piljin
We explore Seiberglike dualities, or mutations, for N = 4 $$ \mathcal{N}=4 $$ quiver quantum mechanics in the context of wallcrossing. [...]
Published in JHEP 1507 (2015) 093
10.1007/JHEP07(2015)093
arXiv:1504.00068
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7.

Scaling behaviour of quiver quantum mechanics
/ Kim, Heeyeon
We explore vacuum degeneracy of Kronecker quiver with large ranks, by computing Witten index of corresponding 1d gauged linear sigma model. [...]
Published in JHEP 1507 (2015) 079
10.1007/JHEP07(2015)079
arXiv:1503.02623
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8.

Witten index and wall crossing
/ Hori, Kentaro ; Kim, Heeyeon ; Yi, Piljin
We compute the Witten index of onedimensional gauged linear sigma models with at least N $$ \mathcal{N} $$ = 2 supersymmetry. [...]
Published in JHEP 1501 (2015) 124
10.1007/JHEP01(2015)124
arXiv:1407.2567
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9.

Exact partition functions on $ \mathbb{R}{{\mathbb{P}}^2} $ and orientifolds
/ Heeyeon Kim ; Sungjay Lee ; Piljin Yi
We consider gauged linear sigma models (GLSM) on $ \mathbb{R}{{\mathbb{P}}^2} $ , obtained from a parity projection of S 2 . [...]
Published in JHEP 1402 (2014) 103
10.1007/JHEP02(2014)103
arXiv:1310.4505
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