Knots-quivers correspondence
P Kucharski, M Reineke, M Stosic… - arXiv preprint arXiv …, 2017 - arxiv.org
We introduce and explore the relation between knot invariants and quiver representation
theory, which follows from the identification of quiver quantum mechanics in D-brane …
theory, which follows from the identification of quiver quantum mechanics in D-brane …
Topological strings, strips and quivers
M Panfil, P Sułkowski - Journal of High Energy Physics, 2019 - Springer
A bstract We find a direct relation between quiver representation theory and open
topological string theory on a class of toric Calabi-Yau manifolds without compact four …
topological string theory on a class of toric Calabi-Yau manifolds without compact four …
BPS counting for knots and combinatorics on words
P Kucharski, P Sułkowski - Journal of High Energy Physics, 2016 - Springer
A bstract We discuss relations between quantum BPS invariants defined in terms of a
product decomposition of certain series, and difference equations (quantum A-polynomials) …
product decomposition of certain series, and difference equations (quantum A-polynomials) …
A-model Implications of Extended Mirror Symmetry
L Hahn, J Walcher - arXiv preprint arXiv:2201.08745, 2022 - arxiv.org
Associativity of the quantum product ensures flatness of the Dubrovin connection and is the
basis for Hodge-theoretic mirror symmetry of Calabi-Yau threefolds. We use ring and …
basis for Hodge-theoretic mirror symmetry of Calabi-Yau threefolds. We use ring and …
Integrality structures in topological strings and quantum 2-functions
S Zhu - Journal of High Energy Physics, 2022 - Springer
A bstract In this article, we first prove the integrality of an explicit disc counting formula
obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named …
obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named …
Hodge Theoretic Aspects of Extended Mirror Symmetry
L Hahn - 2023 - archiv.ub.uni-heidelberg.de
We formulate extended mirror symmetry of Calabi-Yau threefolds with D-branes as an
equivalence between variations of mixed Hodge structure under the mirror map. After an …
equivalence between variations of mixed Hodge structure under the mirror map. After an …
Integrality of Framing and Geometric Origin of 2-functions
A Schwarz, V Vologodsky, J Walcher - arXiv preprint arXiv:1702.07135, 2017 - arxiv.org
We say that a formal power series $\sum a_n z^ n $ with rational coefficients is a 2-function if
the numerator of the fraction $ a_ {n/p}-p^ 2 a_n $ is divisible by $ p^ 2$ for every prime …
the numerator of the fraction $ a_ {n/p}-p^ 2 a_n $ is divisible by $ p^ 2$ for every prime …