Výsledky vyhledávání - "David L. Duncan"

The Yang-Mills flow for cylindrical end 4-manifolds

Autor: David L. Duncan

Publikováno v: Indiana University Mathematics Journal. 69:1007-1071

We establish various existence and uniqueness results for the Yang-Mills flow on cylindrical end 4-manifolds. We also show long-time existence and infinite-time convergence under certain hypotheses on the underlying data.
Comment: 53 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79a93741c2b134816cdcd680f1fa7f5e
https://doi.org/10.1512/iumj.2020.69.7758

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Characterizing immutable sandpiles: A first look

Autor: Wesley J. Engelbrecht, David L. Duncan

By working with coefficients in $\mathbb{Z}$ or $\mathbb{R}$, one can define two different notions of stability for a sandpile on a graph. We call a sandpile immutable when these notions agree. Our main results give linear-algebraic characterizations

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::065836bd30d86b69976f5ebd0dbe019b

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Critical group structure from the parameters of a strongly regular graph

Autor: David L. Duncan, Angela Vichitbandha, Wesley J. Engelbrecht, Joshua E. Ducey, Jawahar V. Madan, Eric Piato, Christina S. Shatford

We give simple arithmetic conditions that force the Sylow $p$-subgroup of the critical group of a strongly regular graph to take a specific form. These conditions depend only on the parameters $(v, k, \lambda, \mu)$ of the strongly regular graph unde

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52a809b3a82361f93df88c190dc43f2e
http://arxiv.org/abs/1910.07686

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The Chern–Simons invariants for the double of a compression body

Autor: David L. Duncan

Publikováno v: Pacific Journal of Mathematics. 280:17-39

Given a 3-manifold that can be written as the double of a compression body, we compute the Chern‐Simons critical values for arbitrary compact connected structure groups. We also show that the moduli space of flat connections is connected when there

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3fb4ba79a7d767a0f9277d425d0572af
https://doi.org/10.2140/pjm.2016.280.17

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