296 citations · 355 across the 8 of their papers we have counts for
9 papers
Quantum metric-induced nonlinear transport in a topological antiferromagnet
Naizhou Wang, Daniel Kaplan, Zhaowei Zhang +13
The Berry curvature and quantum metric are the imaginary part and real part, respectively, of the quantum geometric tensor which characterizes the topology of quantum states. The f…
Unifying semiclassics and quantum perturbation theory at nonlinear order
Daniel Kaplan, Tobias Holder, Binghai Yan
Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies,…
Mixed axial-gravitational anomaly from emergent curved spacetime in nonlinear charge transport
Tobias Holder, Daniel Kaplan, Roni Ilan +1
In 3+1 dimensional spacetime, two vector gauge anomalies are known: The chiral anomaly and the mixed axial-gravitational anomaly. While the former is well documented and tied to th…
Multiplicative preprojective algebras of Dynkin quivers
Daniel Kaplan
For a commutative ring and an ADE Dynkin quiver , we prove that the multiplicative preprojective algebra of Crawley-Boevey and Shaw, with parameter , is isomorphic to t…
A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles
David Favero, Daniel Kaplan, Tyler L. Kelly
We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category which does not…
Exceptional Collections for Mirrors of Invertible Polynomials
David Favero, Daniel Kaplan, Tyler L. Kelly
We prove the existence of a full exceptional collection for the derived category of equivariant matrix factorizations of an invertible polynomial with its maximal symmetry group. T…
Multiplicative preprojective algebras are 2-Calabi-Yau
Daniel Kaplan, Travis Schedler
We prove that multiplicative preprojective algebras, defined by Crawley-Boevey and Shaw, are 2-Calabi-Yau algebras, in the case of quivers containing unoriented cycles. If the quiv…
Spectrum of the Laplacian on Regular Polyhedra
Evan Greif, Daniel Kaplan, Robert S. Strichartz +1
We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, icosahedron and cube. We show two types of eig…
Frobenius Degenerations of Preprojective Algebras
Daniel Kaplan
In this paper, we study a preprojective algebra for quivers decorated with -algebras and bimodules, which generalizes work of Gabriel for ordinary quivers, work of Dlab and Ring…