DOI10.1007/s11005-005-0008-8zbMath1105.57011arXivhep-th/0412243OpenAlexW2158816536WikidataQ59319136 ScholiaQ59319136MaRDI QIDQ2433123
Cumrun Vafa, Sergei Gukov, Albert S. Schwarz
Publication date: 27 October 2006
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0412243
Remarks on Cohomological Hall Algebras and Their Representations,
Colored Kauffman homology and super-A-polynomials,
Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY,
Holomorphic blocks in three dimensions,
BPS spectra and invariants for three- and four-manifolds,
\(S\)-functions, spectral functions of hyperbolic geometry, and vertex operators with applications to structure for Weyl and orthogonal group invariants,
Knot polynomials for twist satellites,
Are there \(p\)-adic knot invariants?,
Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial,
Homology of torus knots,
Superpolynomials for torus knots from evolution induced by cut-and-join operators,
String theory and math: Why this marriage may last. Mathematics and dualities of quantum physics,
Factorization of differential expansion for antiparallel double-braid knots,
Aspects of defects in 3d-3d correspondence,
Boundaries, mirror symmetry, and symplectic duality in \(3d \mathcal{N}=4 \) gauge theory,
Sequencing BPS spectra,
3d-3d correspondence revisited,
Quantization condition from exact WKB for difference equations,
The condensate from torus knots,
Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?,
Teichmüller TQFT vs. Chern-Simons theory,
Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials,
Refined Hopf link revisited,
Static charges in the low-energy theory of the S-duality twist,
Toward \(\mathrm {U}(N|M)\) knot invariant from ABJM theory,
Refined, motivic, and quantum,
Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry,
Exact results and Schur expansions in quiver Chern-Simons-matter theories,
Computing Khovanov-Rozansky homology and defect fusion,
Categorical lifting of the Jones polynomial: a survey,
\({\hat{Z}}\)-invariant for \(SO(3)\) and \(OSp (1|2)\) groups,
Lectures on knot homology and quantum curves,
Lectures on knot homology,
Vortex counting and Lagrangian 3-manifolds,
DG structures on odd categorified quantum \(sl(2)\),
On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry,
Link homologies and the refined topological vertex,
String theory and the Kauffman polynomial,
Fivebranes and 3-manifold homology,
BPS spectra and 3-manifold invariants,
Refined large N duality for knots,
Towards tangle calculus for Khovanov polynomials,
Knot homologies and generalized quiver partition functions,
Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux,
Composite representation invariants and unoriented topological string amplitudes,
Rectangular superpolynomials for the figure-eight knot \(4_1\),
The colored HOMFLYPT function is q-holonomic,
Refined Chern–Simons theory in genus two,
Matrix model and dimensions at hypercube vertices,
Invariants of 4-manifolds from Khovanov-Rozansky link homology,
Towards formalization of the soliton counting technique for the Khovanov–Rozansky invariants in the deformed ℛ-matrix approach,
Introduction to Khovanov homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants,
Five lectures on Khovanov homology,
Junctions of surface operators and categorification of quantum groups,
The KNTZ trick from arborescent calculus and the structure of the differential expansion,
Genus expansion of HOMFLY polynomials,
Cabling procedure for the colored HOMFLY polynomials,
Two lectures on gauge theory and Khovanov homology,
On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds,
Knot complement, ADO invariants and their deformations for torus knots,
Matrix factorizations and link homology. II.,
A closed formula for the evaluation of foams,
CRYSTAL MELTING AND WALL CROSSING PHENOMENA,
Branes and supergroups,
Legendrian knots and constructible sheaves,
CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION,
Macdonald topological vertices and brane condensates,
EIGENVALUE HYPOTHESIS FOR RACAH MATRICES AND HOMFLY POLYNOMIALS FOR 3-STRAND KNOTS IN ANY SYMMETRIC AND ANTISYMMETRIC REPRESENTATIONS,
\(q\)-nonabelianization for line defects,
The Cobordism hypothesis,
Torus knots and mirror symmetry,
Physics and geometry of knots-quivers correspondence,
On exclusive Racah matrices \(\overline{S}\) for rectangular representations,
(0,2) dualities and the 4-simplex,
When the theories meet: Khovanov homology as Hochschild homology of links,
A novel symmetry of colored HOMFLY polynomials coming from \(\mathfrak{sl}(N|M)\) superalgebras,
B-Model Approach to Instanton Counting,
Condensates and instanton - torus knot duality. Hidden Physics at UV scale,
HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations,
Orientifolds and the refined topological string,
Quantum geometry of refined topological strings,
Super-A-polynomials for twist knots,
Knot homology and refined Chern-Simons index,
Special colored superpolynomials and their representation-dependence,
Quantum Hall effect and Langlands program,
A two-variable series for knot complements,
Quadruply-graded colored homology of knots,
REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS,
Why is Landau-Ginzburg link cohomology equivalent to Khovanov homology?,
Exponential growth of colored HOMFLY-PT homology,
\(G_2\) holonomy, Taubes' construction of Seiberg-Witten invariants and superconducting vortices,
\({\widehat{Z}}\) at large \(N\): from curve counts to quantum modularity,
Twist Knot Invariants and Volume Conjecture,
Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid,
Octonions, monopoles, and knots,
Wilson loop invariants from \(W_{N}\) conformal blocks,
On possible existence of HOMFLY polynomials for virtual knots