The Dual and Mirror Images of the Dunwoody 3-Manifolds by Soo Hwan Kim, Yangkok Kim

“…Recently, in 2013, we proved that certain presentations present the Dunwoody 3-manifold groups. Since the Dunwoody 3-manifolds do not have a unique Heegaard diagram, we cannot determine a unique group presentation for the Dunwoody 3-manifolds. …”
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On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links by Soo Hwan Kim, Yangkok Kim

“…We study the algebraic and geometric structures for closed orientable 3-manifolds obtained by Dehn surgery along the family of hyperbolic links with certain surgery coefficients and moreover, the geometric presentations of the fundamental group of these manifolds. …”
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Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators by Quanxiang Pan, Yajie Wang

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Biharmonic Curves in a Strict Walker 3-Manifold by Mamadou Gningue, Ameth Ndiaye, Rénovat Nkunzimana

“…In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. …”
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Foliations by minimal surfaces and contact structures on certain closed 3-manifolds by Richard H. Escobales

“…Let (M,g) be a closed, connected, oriented C∞ Riemannian 3-manifold with tangentially oriented flow F. Suppose that F admits a basic transverse volume form μ and mean curvature one-form κ which is horizontally closed. …”
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds by Abdul Haseeb, Meraj Ali Khan

“…In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ−ϵσ=−2ϵl+mr/2+1/2p+2/3. …”
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The Heegaard genus of manifolds obtained by surgery on links and knots by Bradd Clark

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Minimizing energy among homotopic maps by Pengzi Miao

“…We study an energy minimizing sequence {ui} in a fixed homotopy class of smooth maps from a 3-manifold. After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy concentration.…”
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Skein modules of links in cylinders over surfaces by Jens Lieberum

“…We define the Conway skein module 𝒞 (M) of ordered based links in a 3-manifold M. This module gives rise to 𝒞 (M)-valued invariants of usual links in M. …”
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A note on background independence in AdS3 string theory by Bob Knighton

“…Abstract In this note, we comment on the path integral formulation of string theory on M $$ \mathcal{M} $$ × S3 × T 4 $$ {\mathbbm{T}}^4 $$ where M $$ \mathcal{M} $$ is any hyperbolic 3-manifold. In the special case of k = 1 units of NS-NS flux, we provide a covariant description of the worldsheet theory and argue that the path integral depends only on the details of the conformal boundary ∂ M $$ \partial \mathcal{M} $$ , making the background independence of this theory manifest. …”
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Exact Computations in Topological Abelian Chern-Simons and BF Theories by Philippe Mathieu

“…We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional integrals. …”
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Higher-form symmetries, Bethe vacua, and the 3d-3d correspondence by Julius Eckhard, Heeyeon Kim, Sakura Schäfer-Nameki, Brian Willett

“…Abstract By incorporating higher-form symmetries, we propose a refined definition of the theories obtained by compactification of the 6d (2, 0) theory on a three-manifold M3. This generalization is applicable to both the 3d N $$ \mathcal{N} $$ = 2 and N $$ \mathcal{N} $$ = 1 supersymmetric reductions. …”
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Three-Dimensional Pseudomanifolds on Eight Vertices by Basudeb Datta, Nandini Nilakantan

“…There are 74 such 3-pseudomanifolds, 39 of which triangulate the 3-sphere and other 35 are not combinatorial 3-manifolds. These 35 triangulate six distinct topological spaces. …”
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