Results 21 to 30 of about 157 (62)
Thurston obstructions and tropical geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley +1 more source
Mutual Interlacing and Eulerian-like Polynomials for Weyl Groups [PDF]
, 2014 We use the method of mutual interlacing to prove two conjectures on the real-rootedness of Eulerian-like polynomials: Brenti's conjecture on $q$-Eulerian polynomials for Weyl groups of type $D$, and Dilks, Petersen, and Stembridge's conjecture on affine ...
Yang, Arthur L. B., Zhang, Philip B.
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Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric functions over arbitrary rings to extend this result to any ring. In particular, we study the discrete isoperimetric function and show that its linearity is equivalent to hyperbolicity,
Shaked Bader +2 more
wiley +1 more source
TOPOLOGICAL AND COMBINATORIAL PROPERTIES OF NEIGHBORHOOD AND CHESSBOARD COMPLEXES [PDF]
, 2011 This dissertation examines the topological properties of simplicial complexes that arise from two distinct combinatorial objects. In 2003, A. Björner and M.
Zeckner, Matthew
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Cycle Invariant Positional Encoding for Graph Representation Learning
, 2023 Cycles are fundamental elements in graph-structured data and have demonstrated their effectiveness in enhancing graph learning models. To encode such information into a graph learning framework, prior works often extract a summary quantity, ranging from ...
Chen, Chao +5 more
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Topological tools for understanding complex systems [PDF]
, 2020 The behavior of complex systems is often influenced by their structure. In mathematics, the field of algebraic topology has been especially useful for characterizing mathematical structures.
Feng, Michelle H
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Finiteness properties and relatively hyperbolic groups
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1445-1452, May 2025.Abstract We show that properties Fn$F_n$ and FPn$FP_n$ hold for a relatively hyperbolic group if and only if they hold for all the peripheral subgroups. As an application we show that there are at least countably many distinct quasi‐isometry classes of one‐ended non‐amenable groups that are type Fn$F_n$ but not Fn+1$F_{n+1}$ and similarly of type FPn ...
Harsh Patil
wiley +1 more source
Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley +1 more source
Rational cohomology of M4,1$\mathcal {M}_{4,1}$
Mathematische Nachrichten, Volume 298, Issue 3, Page 1041-1061, March 2025.Abstract We compute the rational cohomology of the moduli space M4,1$\mathcal {M}_{4,1}$ of nonsingular genus 4 curves with one marked point, using Gorinov–Vassiliev's method.
Yiu Man Wong, Angelina Zheng
wiley +1 more source
The category of a partitioned fan
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced and the category of a partitioned fan is defined as a generalisation of the τ$\tau$‐cluster morphism category of a finite‐dimensional algebra. This establishes a complete lattice of categories around the τ$\tau$‐cluster morphism category, which is ...
Maximilian Kaipel
wiley +1 more source