We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau topological vertices in Donaldson-Thomas theory and Pandharipande-Thomas theory) are equal up to a factor of MacMahon's generating function for plane partitions. The main tools in our proof are a Desnanot-Jacobi-type condensation identity, and a novel application of the tripartite double-dimer model of Kenyon-Wilson.Comment: 91 pages, 15 figures. This is the full version of the FPSAC extended abstract arXiv:2012.0848
We give a GIT construction for the moduli space of stable pairs on projective stacks, and study PT i...
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on C4 . We extend its defi...
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on C4 . We extend its defi...
We prove that the partition function for tripartite double-dimer configurations of a planar bipartit...
Important illustration to the principle ``partition functions in string theory are $\tau$-functions ...
This thesis consists of the manuscripts of two research papers. In the first paper, we verify a rec...
This thesis consists of the manuscripts of two research papers. In the first paper, we verify a rec...
Recently, Nekrasov discovered a new "genus" for Hilbert schemes of points on $\mathbb{C}^4$. We conj...
This is the authors' accepted manuscript. First published in Notices of the American Mathematical So...
This is the authors' accepted manuscript. First published in Notices of the American Mathematical So...
We compute partition functions of the mass deformed multiple M5-branes theory on $K3\times T^2$ usin...
In this paper we study certain degenerations of the mirror curves, associated with Calabi-Yau threef...
AbstractWe verify a recent conjecture of Kenyon/Szendrői by computing the generating function for py...
We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve cla...
This thesis is composed of two parts. In the first part we introduce a higher rank analog of the Pan...
We give a GIT construction for the moduli space of stable pairs on projective stacks, and study PT i...
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on C4 . We extend its defi...
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on C4 . We extend its defi...
We prove that the partition function for tripartite double-dimer configurations of a planar bipartit...
Important illustration to the principle ``partition functions in string theory are $\tau$-functions ...
This thesis consists of the manuscripts of two research papers. In the first paper, we verify a rec...
This thesis consists of the manuscripts of two research papers. In the first paper, we verify a rec...
Recently, Nekrasov discovered a new "genus" for Hilbert schemes of points on $\mathbb{C}^4$. We conj...
This is the authors' accepted manuscript. First published in Notices of the American Mathematical So...
This is the authors' accepted manuscript. First published in Notices of the American Mathematical So...
We compute partition functions of the mass deformed multiple M5-branes theory on $K3\times T^2$ usin...
In this paper we study certain degenerations of the mirror curves, associated with Calabi-Yau threef...
AbstractWe verify a recent conjecture of Kenyon/Szendrői by computing the generating function for py...
We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve cla...
This thesis is composed of two parts. In the first part we introduce a higher rank analog of the Pan...
We give a GIT construction for the moduli space of stable pairs on projective stacks, and study PT i...
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on C4 . We extend its defi...
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on C4 . We extend its defi...
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