Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Duncan, David L."'
Autor:
Duncan, David L., Hambleton, Ian
Taubes' gluing theorems establish the existence of ASD connections on closed, oriented 4-manifolds. We extend these gluing results to the mASD connections of Morgan-Mrowka-Ruberman on oriented 4-manifolds with cylindrical ends. As a corollary, we obt
Externí odkaz:
http://arxiv.org/abs/2007.13822
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:
http://arxiv.org/abs/2006.00041
Autor:
Ducey, Joshua E., Duncan, David L., Engelbrecht, Wesley J., Madan, Jawahar V., Piato, Eric, Shatford, Christina S., Vichitbandha, Angela
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:
http://arxiv.org/abs/1910.07686
Publikováno v:
In Discrete Mathematics January 2022 345(1)
Autor:
Duncan, David L.1 (AUTHOR) duncandl@jmu.edu
Publikováno v:
Mathematical Intelligencer. Jun2023, Vol. 45 Issue 2, p92-103. 12p.
Autor:
Duncan, David L.
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(3), 1007-1071.
Externí odkaz:
https://www.jstor.org/stable/26959659
Autor:
Duncan, David L.
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 a
Externí odkaz:
http://arxiv.org/abs/1610.07057
Autor:
Duncan, David L.
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
Comment: 53 pages
Externí odkaz:
http://arxiv.org/abs/1603.00520
Autor:
Ducey, Joshua E., Duncan, David L., Engelbrecht, Wesley J., Madan, Jawahar V., Piato, Eric, Shatford, Christina S., Vichitbandha, Angela
Publikováno v:
In Journal of Combinatorial Theory, Series A May 2021 180
Autor:
Duncan, David L.
We discuss a general procedure for using characteristic classes to study the components of the gauge group for a principal G-bundle. To illustrate this, we work out the case where G is the projective unitary group.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1311.5611