Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 59 min ago
PreprintCC BY 4.0arXiv

Ruling out Infinite-Time Bubbling under SO(4)-Equivariant Yang--Mills Flow on π•Š4Γ— SU(2)

  • Gabriel Tribe
Open at sourcePDFDOICite

Abstract

We study the Yang--Mills flow on π•Š4 restricted to SO(4)-equivariant connections on the trivial SU(2) bundle. It was expected that antipodal instanton--anti-instanton configurations would lead to infinite-time singularities along the flow. We show that this does not occur. Moreover, for any smooth equivariant initial condition, the flow converges to the trivial flat connection.

Related

  1. Construction of infinite time bubble tower solutions for energy critical equivariant SchrΓΆdinger maps
    Yuchen Yin
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Infinite Time Stackelberg Game with Local Information: A Naive Solution Analysis
    Xinwei Feng, Ying Hu, Jianhui Huang +1
    HALPreprintCC BY-NC-ND 4.0Full textOptimisation & controlHAL
  3. Formal solution and strong asymptotic expansion of some initial value problem in two complex time variables, infinite order irregular singularities and Mahler transforms
    Alberto Lastra, Stephane Malek
    arXivPreprintCC BY-NC-ND 4.0Full textAnalysis & PDEsarXiv
  4. Infinite time blow-up of solutions to the classical Keller-Segel model of chemotaxis in higher dimensions
    YΕ«ki Naito, Takasi Senba
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Global solutions for continuous-time Burgers equations and infinite-volume polymer measures
    Liying Li
    arXivPreprintarXiv licenceFull textProbabilityarXiv

Cite

BibTeXRIS
BibTeX
@misc{tribe2026ruling,
  title = {{Ruling out Infinite-Time Bubbling under $SO(4)$-Equivariant Yang--Mills Flow on $\mathbbS^4\times SU(2)$}},
  author = {Gabriel Tribe},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13392},
  eprint = {2610.13392},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13392},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Ruling out Infinite-Time Bubbling under SO(4)-Equivariant Yang--Mills Flow on π•Š^4Γ— SU(2)
AU  - Gabriel Tribe
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13392
UR  - https://arxiv.org/abs/2610.13392
AB  - We study the Yang--Mills flow on π•Š^4 restricted to SO(4)-equivariant connections on the trivial SU(2) bundle. It was expected that antipodal instanton--anti-instanton configurations would lead to infinite-time singularities along the flow. We show that this does not occur. Moreover, for any smooth equivariant initial condition, the flow converges to the trivial flat connection.
ER  -