학술
기타
Relative free splitting and free factor complexes I: Hyperbolicity
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
We study the large scale geometry of the relative free splitting complex and the relative free factor complex of the rank $n$ free group $F_n$, relative to the choice of a free factor system of $F_n$, proving that these complexes are hyperbolic.
Furthermore we present the proof in a general context, obtaining hyperbolicity of the relative free splitting complex and of the relative free factor complex of a general group $\Gamma$, relative to the choice of a free factor system of $\Gamma$.
The proof yields information about coarsely transitive families of quasigeodesics in each of these complexes, expressed in terms of fold paths of free splittings.
이 뉴스, 어떠셨어요?
탭 한 번으로 반응 · 로그인 불필요
관련 뉴스
관련 뉴스 제보는 로그인 후 가능합니다.
'research' 카테고리 뉴스
FineServe: A Fine-Grained Dataset and Characterization of Global LLM Serving Workloads
arXiv CS.AI
Hybrid LSTM-Graph Neural Framework for Robust Financial Fraud Detection and Adversarial Resilience
arXiv CS.AI
OpenEvoShield: Dual Non-Stationary Continual Defense for Open-World Multi-Agent System Attacks
arXiv CS.AI