Geometric Topology Papers

Mazur manifolds and symplectic structures Alberto Cavallo arxiv.org/abs/2605.15095 [𝚖𝚊𝚝𝚑.𝙶𝚃 𝚖𝚊𝚝𝚑.𝚂𝙶]

Miyazawa's Invariant, Lefschetz Numbers, and Seifert Solids Judson Kuhrman arxiv.org/abs/2605.14996 [𝚖𝚊𝚝𝚑.𝙶𝚃]

The Euler obstruction of a 1-form on a determinantal singularity Anne Frühbis-Krüger, Hellen Santana arxiv.org/abs/2605.14856 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Quandle presentations of surface knots in 4-manifolds and bridge numbers Xiaozhou Zhou arxiv.org/abs/2605.14593 [𝚖𝚊𝚝𝚑.𝙶𝚃]

McShane-Rivin norm balls and simple-length multiplicities Nhat Minh Doan, Xiaobin Li, Van Nguyen arxiv.org/abs/2605.14574 [𝚖𝚊𝚝𝚑.𝙶𝚃 𝚖𝚊𝚝𝚑.𝙼𝙶 𝚖𝚊𝚝𝚑.𝙽𝚃]

Geodesic currents of coarse negative curvature Meenakshy Jyothis, Dídac Martínez-Granado arxiv.org/abs/2605.14469 [𝚖𝚊𝚝𝚑.𝙶𝚃]

The KnotMosaics Package for SageMath Mary Y. Deng, Allison K. Henrich, Sean H. Kawano, Andrew R. Tawfeek arxiv.org/abs/2605.14189 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Taming Wild Knots with Mosaics Mary Y. Deng, Allison K. Henrich, Sean H. Kawano, Andrew R. Tawfeek arxiv.org/abs/2605.14185 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Brieskorn spheres and rational homology ball symplectic fillings Antonio Alfieri, Alberto Cavallo, Irena Matkovič arxiv.org/abs/2605.13812 [𝚖𝚊𝚝𝚑.𝙶𝚃 𝚖𝚊𝚝𝚑.𝚂𝙶]

Stratification of AGLᵣ(ℂ)-representation varieties of twisted Hopf links Ángel Molina-Navarro arxiv.org/abs/2605.13585 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Generating the mapping class group of a nonorientable surface of genus g ≥ 13 by two elements Berkay Aybak, Hasan Ozden arxiv.org/abs/2605.13372 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Twisted Alexander vanishing groups of knots Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki arxiv.org/abs/2605.13291 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Twisted Alexander polynomials of a knot for group extensions Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki arxiv.org/abs/2605.13288 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Vaibhav Keshari, Taher I. Mayassi, Madeti Prabhakar, Mohamad N. Nasser arxiv.org/abs/2605.13090 [𝚖𝚊𝚝𝚑.𝙶𝚃 𝚖𝚊𝚝𝚑.𝙶𝚁 𝚖𝚊𝚝𝚑.𝚁𝚃]

Non-arithmeticity of length spectra of subgroups of mapping class groups Inhyeok Choi, Dongryul M. Kim arxiv.org/abs/2605.13064 [𝚖𝚊𝚝𝚑.𝙶𝚃 𝚖𝚊𝚝𝚑.𝙳𝚂 𝚖𝚊𝚝𝚑.𝙶𝚁]

Lefschetz Fibrations on Knot Traces of Alternating and Extended Alternating Knots Atsushi Tanaka arxiv.org/abs/2605.13017 [𝚖𝚊𝚝𝚑.𝙶𝚃]

A Lower Bound on the Self-intersections of Fold Singularities Joshua Drouin, Liam Kahmeyer arxiv.org/abs/2605.12989 [𝚖𝚊𝚝𝚑.𝙶𝚃]

An irreducible real projective plane in the 4-sphere Mark Hughes, Seungwon Kim, Maggie Miller, Gheehyun Nahm arxiv.org/abs/2605.12921 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Underlying Stokes and de Rham structures for Arnold-type invariants Noboru Ito, Hiroki Mizuno arxiv.org/abs/2605.12834 [𝚖𝚊𝚝𝚑.𝙶𝚃]

Chewing gums, snakes and candle cakes Benedetta Facciotti, Marta Mazzocco, Nikita Nikolaev arxiv.org/abs/2605.12572 [𝚖𝚊𝚝𝚑.𝙶𝚃 𝚖𝚊𝚝𝚑-𝚙𝚑]