Room 210

Vivatsgasse 7

53111 Bonn

Vivatsgasse 7

53111 Bonn

# Steven Sivek

Imperial College Department of MathematicsPapers and preprints (click on title to view abstract), also available on the arXiv:

Small Dehn surgery and SU(2)
with John A. Baldwin,
Zhenkun Li,
and Fan Ye

Geom. Topol., to appear; arXiv:2110.02874

Geom. Topol., to appear; arXiv:2110.02874

Khovanov homology and the cinquefoil
with John A. Baldwin
and Ying Hu

J. Eur. Math. Soc., to appear; arXiv:2105.12102

J. Eur. Math. Soc., to appear; arXiv:2105.12102

Instanton Floer homology of almost-rational plumbings
with
Antonio Alfieri,
John A. Baldwin,
and
Irving Dai

Geom. Topol., to appear; arXiv:2010.03800

Geom. Topol., to appear; arXiv:2010.03800

Framed instanton homology and concordance
with John A. Baldwin

J. Topology

J. Topology

**14**(2021), no. 4, 1113–1175.
Surgery obstructions and character varieties
with Raphael Zentner

Trans. Amer. Math. Soc.

Trans. Amer. Math. Soc.

**375**(2022), no. 5, 3351–3380.
L-space knots are fibered and strongly quasipositive
with John A. Baldwin

Gauge theory and low-dimensional topology: progress and interaction, 81–94,

Open Book Series 5, Math. Sci. Publ., Berkeley, CA, 2022.

Gauge theory and low-dimensional topology: progress and interaction, 81–94,

Open Book Series 5, Math. Sci. Publ., Berkeley, CA, 2022.

Instantons and L-space surgeries
with John A. Baldwin

J. Eur. Math. Soc., to appear; arXiv:1910.13374

J. Eur. Math. Soc., to appear; arXiv:1910.13374

A menagerie of SU(2)-cyclic 3-manifolds
with Raphael Zentner

Int. Math. Res. Not. 2022, no. 11, 8038–8085.

Int. Math. Res. Not. 2022, no. 11, 8038–8085.

Khovanov homology detects the Hopf links
with John A. Baldwin
and Yi Xie

Math. Res. Lett.

Math. Res. Lett.

**26**(2019), no. 5, 1281–1290.
Representations, sheaves, and Legendrian (2,m) torus links
with Baptiste Chantraine
and Lenhard Ng

J. London Math. Soc.

J. London Math. Soc.

**100**(2019), no. 1, 41–82.
Khovanov homology detects the trefoils
with John A. Baldwin

Duke Math. J.

Duke Math. J.

**171**(2022), no. 4, 885–956.
SU(2)-cyclic surgeries and the pillowcase
with Raphael Zentner

J. Differential Geom.

J. Differential Geom.

**121**(2022), no. 1, 101–185.
On the complexity of torus knot recognition
with John A.
Baldwin

Trans. Amer. Math. Soc.

Trans. Amer. Math. Soc.

**371**(2019), no. 6, 3831–3855.
Stein fillings and SU(2) representations
with John A.
Baldwin

Geom. Topol.

Geom. Topol.

**22**(2018), no. 7, 4307–4380.
On the equivalence of contact invariants in sutured Floer homology theories
with John A.
Baldwin

Geom. Topol.

Geom. Topol.

**25**(2021), no. 3, 1087–1164.
The cardinality of the augmentation category of a Legendrian link
with Lenhard Ng,
Dan Rutherford,
and
Vivek Shende

Math. Res. Lett.

Math. Res. Lett.

**24**(2017), no. 6, 1845–1874.
Fillings of unit cotangent bundles
with Jeremy Van Horn-Morris

Math. Ann.

Math. Ann.

**368**(2017), no. 3–4, 1063–1080.
Quasi-alternating links with small determinant
with Tye Lidman

Math. Proc. Cambridge Philos. Soc.

Math. Proc. Cambridge Philos. Soc.

**162**(2017), no. 2, 319–336.
Augmentations are sheaves
with
Lenhard Ng,
Dan Rutherford,
Vivek Shende, and
Eric Zaslow

Geom. Topol.

Geom. Topol.

**24**(2020), no. 5, 2149–2286.
Obstructions to Lagrangian concordance
with
Christopher R. Cornwell
and Lenhard Ng

Algebr. Geom. Topol.

Algebr. Geom. Topol.

**16**(2016), no. 2, 797–824.
Contact structures and reducible surgeries
with
Tye Lidman

Compositio Math.

Compositio Math.

**152**(2016), no. 1, 152–186.
Instanton Floer homology and contact structures
with
John A.
Baldwin

Selecta Math.

Selecta Math.

**22**(2016), no. 2, 939–978.
Invariants of Legendrian and transverse knots in monopole knot homology
with John A.
Baldwin

J. Symplectic Geom.

J. Symplectic Geom.

**16**(2018), no. 4, 959–1000.
A contact invariant in sutured monopole homology
with John A.
Baldwin

Forum Math. Sigma

Forum Math. Sigma

**4**(2016), e12, 82 pp.
Sutured ECH is a natural invariant
with Çağatay
Kutluhan;
appendix by C. H. Taubes

Mem. Amer. Math. Soc.

Mem. Amer. Math. Soc.

**275**(2022), no. 1350, iii+136pp.
Naturality in sutured monopole and instanton homology
with John A. Baldwin

J. Differential Geom.

J. Differential Geom.

**100**(2015), no. 3, 395–480.
Donaldson invariants of symplectic manifolds
Int. Math. Res. Not. 2015, no. 6, 1688–1716.

The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant
J. Symplectic Geom.

**11**(2013), no. 2, 167–178. (Examples of representations)
On the S

Electron. J. Combin.

_{n}-modules generated by partitions of a given shape with Daniel KaneElectron. J. Combin.

**15**(2008), #R111.Programs: