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Main Authors:	Bellettini, Giovanni, Paolini, Giovanni, Paolini, Maurizio, Wang, Yi-Sheng
Format:	Preprint
Published:	2025
Subjects:	Geometric Topology 57K12, 57M15, 05C30
Online Access:	https://arxiv.org/abs/2511.12194
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Tangle replacement on spatial graphs
by: Bellettini, Giovanni, et al.
Published: (2025)

3-decompositions of genus two handlebody-knots
by: Ozawa, Makoto, et al.
Published: (2026)

On symmetry and exterior problems of knotted handlebodies
by: Koda, Yuya, et al.
Published: (2025)

Essential annuli in genus two handlebody exteriors
by: Koda, Yuya, et al.
Published: (2024)

A categorification for the partial-dual genus polynomial
by: Cheng, Zhiyun, et al.
Published: (2024)

Bounded domains in the 3-dimensional space
by: Tsuboi, Takashi
Published: (2025)

Loops in surfaces, chord diagrams, interlace graphs: operad factorisations and generating grammars
by: Simon, Christopher-Lloyd
Published: (2023)

Welded graphs, Wirtinger groups and knotted punctured spheres
by: Audoux, Benjamin, et al.
Published: (2023)

Quandle presentations of surface knots in 4-manifolds and bridge numbers
by: Zhou, Xiaozhou
Published: (2026)

Seifert circles, crossing number and the braid index of generalized knots and links
by: Cardoso, Gustavo, et al.
Published: (2022)

Construction of weaving and polycatenane motifs from periodic tilings of the plane
by: Fukuda, Mizuki, et al.
Published: (2022)

Properties of minimal charts and their applications XI: no minimal charts with exactly seven white vertices
by: Nagase, Teruo, et al.
Published: (2024)

Stuck Knots: Rigidity, Invariants, and Unsticking Distance
by: Diamantis, Ioannis
Published: (2026)

The linear minimal 4-chart with three crossings
by: Nagase, Teruo, et al.
Published: (2025)

Multi-Virtual Knot Theory
by: Kauffman, Louis H
Published: (2024)

Minimal crossing diagrams of spatial graphs
by: Flapan, Erica, et al.
Published: (2025)

Intersection graph and writhe polynomial
by: Cheng, Zhiyun
Published: (2023)

Classifying links and spatial graphs with finite $N$-quandles
by: Mellor, Blake
Published: (2023)

The handlebody group is a virtual duality group
by: Petersen, Dan, et al.
Published: (2024)

Singular twisted links and singular twisted virtual braids
by: Negi, Komal, et al.
Published: (2024)

Mutation, surface graphs, and alternating links in surfaces
by: Boden, Hans U., et al.
Published: (2023)

On the transient number of a knot
by: Eudave-Muñoz, Mario, et al.
Published: (2023)

Tunnel number one knots satisfy the Berge Conjecture
by: Li, Tao, et al.
Published: (2017)

Dehn filling and the knot group I: Realization Property
by: Ito, Tetsuya, et al.
Published: (2023)

Properties of minimal charts and their applications X: charts of type $(5,2)$
by: Nagase, Teruo, et al.
Published: (2024)

The $(2,1)$-cable of the figure-eight knot is not smoothly slice
by: Dai, Irving, et al.
Published: (2022)

Dehn filling and the knot group II: Ubiquity of persistent elements
by: Ito, Tetsuya, et al.
Published: (2026)

On diffeomorphisms of 4-dimensional 1-handlebodies
by: Moussard, Delphine
Published: (2024)

The $n$-adjacency graph for knots
by: Campisi, Marion, et al.
Published: (2026)

Large volume fibered knots in 3-manifolds
by: Oakley, J. Robert
Published: (2023)

Connected sum and crossing numbers of flat virtual knots
by: Chen, Jie
Published: (2023)

The virtual flyping theorem
by: Kindred, Thomas
Published: (2022)

Primeness of alternating virtual links
by: Kindred, Thomas
Published: (2022)

End-essential spanning surfaces for links in thickened surfaces
by: Kindred, Thomas
Published: (2022)

The primitive curve complex for a handlebody
by: Cho, Sangbum, et al.
Published: (2024)

Exotic presentations of quaternion groups and Wall's D2 problem
by: Hofmann, Tommy, et al.
Published: (2025)

Complexified tetrahedrons, fundamental groups, and volume conjecture for double twist knots
by: Murakami, Jun
Published: (2024)

Chirality of torus-covering $T^2$-links of degree three
by: Bekki, Hohto, et al.
Published: (2026)

The knot meridians of (1,1)-knot complements are CTF-detected
by: Lyu, Qingfeng
Published: (2024)

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