Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Bryan, Jim"'
Autor:
Bryan, Jim, Pietromonaco, Stephen
A banana manifold is a Calabi-Yau threefold fibered by Abelian surfaces whose singular fibers contain banana configurations: three rational curves meeting each other in two points. A nano-manifold is a Calabi-Yau threefold $X$ with very small Hodge n
Externí odkaz:
http://arxiv.org/abs/2405.04701
Autor:
Bryan, Jim, Pietromonaco, Stephen
We develop a theory of Gopakumar-Vafa (GV) invariants for a Calabi-Yau threefold (CY3) $X$ which is equipped with an involution $\imath$ preserving the holomorphic volume form. We define integers $n_{g,h}(\beta) $ which give a virtual count of the nu
Externí odkaz:
http://arxiv.org/abs/2203.12077
Autor:
Bryan, Jim, Gyenge, Ádám
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 6 (March 9, 2022) epiga:6986
Let $X$ be a complex $K3$ surface with an effective action of a group $G$ which preserves the holomorphic symplectic form. Let $$ Z_{X,G}(q) = \sum_{n=0}^{\infty} e\left(\operatorname{Hilb}^{n}(X)^{G} \right)\, q^{n-1} $$ be the generating function f
Externí odkaz:
http://arxiv.org/abs/1907.01535
Autor:
Bryan, Jim
A banana manifold is a compact Calabi-Yau threefold, fibered by Abelian surfaces, whose singular fibers have a singular locus given by a "banana configuration of curves". A basic example is given by $X_{ban}$, the blowup along the diagonal of the fib
Externí odkaz:
http://arxiv.org/abs/1902.08695
Autor:
Bryan, Jim, Oberdieck, Georg
A CHL model is the quotient of $\mathrm{K3} \times E$ by an order $N$ automorphism which acts symplectically on the K3 surface and acts by shifting by an $N$-torsion point on the elliptic curve $E$. We conjecture that the primitive Donaldson-Thomas p
Externí odkaz:
http://arxiv.org/abs/1811.06102
Publikováno v:
Quantum 3, 115 (2019)
For a multipart quantum system, a locally maximally entangled (LME) state is one where each elementary subsystem is maximally entangled with its complement. This paper is a sequel to arXiv:1708.01645, which gives necessary and sufficient conditions f
Externí odkaz:
http://arxiv.org/abs/1801.03508
We study a question which has natural interpretations in both quantum mechanics and in geometry. Let $V_1,..., V_n$ be complex vector spaces of dimension $d_1,...,d_n$ and let $G= SL_{d_1} \times \dots \times SL_{d_n}$. Geometrically, we ask given $(
Externí odkaz:
http://arxiv.org/abs/1708.01645
Autor:
Bryan, Jim, Kool, Martijn
Publikováno v:
Forum of Math. Sigma (2019) Vol. 7, e7, 45 pages
We compute the Donaldson-Thomas invariants of a local elliptic surface with section. We introduce a new computational technique which is a mixture of motivic and toric methods. This allows us to write the partition function for the invariants in term
Externí odkaz:
http://arxiv.org/abs/1608.07369
Publikováno v:
Selecta Math. 24 (2018) 1527-1548
The topological vertex is a universal series which can be regarded as an object in combinatorics, representation theory, geometry, or physics. It encodes the combinatorics of 3D partitions, the action of vertex operators on Fock space, the Donaldson-
Externí odkaz:
http://arxiv.org/abs/1603.05271
We study the enumerative geometry of algebraic curves on abelian surfaces and threefolds. In the abelian surface case, the theory is parallel to the well-developed study of the reduced Gromov-Witten theory of K3 surfaces. We prove complete results in
Externí odkaz:
http://arxiv.org/abs/1506.00841