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Main Authors:	Irelli, Giovanni Cerulli, Fiorenza, Domenico, Landi, Eugenio, Matteucci, Michele
Format:	Preprint
Published:	2026
Subjects:	Representation Theory Combinatorics General Topology 57K10, 16G20, 05C10, 06D99
Online Access:	https://arxiv.org/abs/2605.19872
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Geometric universal Jones invariant from configurations on ovals in the disc
by: Anghel, Cristina Ana-Maria
Published: (2024)

Region crossing change on planar trivalent graphs
by: Cheng, Zhiyun
Published: (2022)

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

Multiple Cylinder of Relations for Finite Spaces and Nerve Theorem for Strong-Good Cover
by: Das, Ponaki, et al.
Published: (2024)

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

Stranding $\mathfrak{sl}_n$ webs
by: Russell, Heather M., et al.
Published: (2025)

Equivalence of Doubly Periodic Tangles
by: Diamantis, Ioannis, et al.
Published: (2023)

Kauffman bracket skein module of the connected sum of two solid tori
by: Bakshi, Rhea Palak, et al.
Published: (2026)

Kauffman bracket skein modules of small 3-manifolds
by: Detcherry, Renaud, et al.
Published: (2023)

Geometric-combinatorial approaches to tilting theory for weighted projective lines
by: Chen, Jianmin, et al.
Published: (2025)

Fibers of maps to totally nonnegative spaces
by: Davis, James F., et al.
Published: (2019)

Twisted Yang-Baxter sets, cohomology theory, and application to knots
by: Elhamdadi, Mohamed, et al.
Published: (2024)

Dips at small sizes for topological graph obstruction sets
by: Kim, Hyoungjun, et al.
Published: (2022)

Convex Embeddability and Knot Theory
by: Iannella, Martina, et al.
Published: (2023)

A complete invariant for doodles on a 2-sphere
by: Mostovoy, Jacob
Published: (2024)

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

Additivity of Crossing Number via Restricted Reidemeister Moves
by: Weinstein, Vadim
Published: (2025)

Singular Meanders
by: Belousov, Yury
Published: (2025)

Quantum state systems that count perfect matchings
by: Baldridge, Scott, et al.
Published: (2024)

Knot theory and cluster algebras II: The knot cluster
by: Bazier-Matte, Véronique, et al.
Published: (2024)

Knot theory and cluster algebras
by: Bazier-Matte, Véronique, et al.
Published: (2021)

Random meander model for links
by: Owad, Nicholas, et al.
Published: (2022)

Maps on Surfaces as a Structural Framework for Genus-One Virtual Knot Classification
by: Omelchenko, Alexander
Published: (2026)

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$
by: Keshari, Vaibhav, et al.
Published: (2025)

Polyhedral CAT(0) metrics on locally finite complexes
by: Adiprasito, Karim A., et al.
Published: (2024)

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

Handle number is not always realized by a minimal genus Seifert surface
by: Baker, Kenneth L., et al.
Published: (2024)

Handle numbers of guts of sutured manifolds and nearly fibered knots
by: Baker, Kenneth L., et al.
Published: (2023)

Links in projective planar graphs
by: Foisy, Joel, et al.
Published: (2022)

Action of the Witt algebra on categorified quantum groups
by: Grlj, Jernej, et al.
Published: (2025)

Gauss diagrams as cubic graphs: The choice of the Hamiltonian cycle matters
by: Vernitski, Alexei
Published: (2024)

The ropelength conjecture of alternating knots
by: Diao, Yuanan
Published: (2022)

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

Kauffman bracket skein module of two families of Seifert manifolds
by: Liang, Minyi, et al.
Published: (2024)

Invariants of almost embeddings of graphs in the plane: results and problems
by: Alkin, E., et al.
Published: (2024)

Tangle replacement on spatial graphs
by: Bellettini, Giovanni, et al.
Published: (2025)

Minimal generating sets of rotational Reidemeister moves
by: Becerra, Jorge, et al.
Published: (2025)

On the n-loop Kontsevich invariant of knots having the same Alexander polynomial
by: Yamaguchi, Kouki
Published: (2024)

Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery
by: Chen, Haimiao
Published: (2017)

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