Hopf Algebroids, Atiyah Sequences and Noncommutative Gauge Theories
Explore Hopf algebroids, Atiyah sequences, and their applications in noncommutative gauge theories with expert insights and advanced mathematical concepts.
Mysterious Triality
Explore the enigmatic concept of triality in mathematics and physics, unraveling its connections to symmetry, algebra, and quantum mechanics.
New Recipe for Pi - A Novel Approach to Calculating Pi
Discover a groundbreaking approach to calculating pi, featuring insights from physicists Sinha and Saha on their innovative method that connects string theory to this fundamental constant.
An Introduction to Fusion Rings - Part II
Explore advanced fusion ring concepts, their applications in physics and mathematics, and their connection to particle interactions in various dimensions. Learn computational methods for finding and analyzing fusion rings.
Maulik-Okounkov Lie Algebras and BPS Lie Algebras
Explore the connection between Maulik-Okounkov and BPS Lie algebras, examining their roles in quiver varieties and cohomological DT theory. Gain insights into non-abelian stable envelopes and Okounkov's conjecture.
Condensed Thoughts - Topological Field Theories and Condensation
Explore topological field theories, focusing on condensation in TQFTs and its relation to connectivity in homotopy types. Gain insights from recent research discussions.
Open Gromov-Witten Invariants from the Fukaya Category
Explore recent progress in deriving Gromov-Witten invariants from the Fukaya category, focusing on cyclic open-closed maps, R-matrices, and potential extensions to open invariants.
Stable Envelopes from 2D Mirror Symmetry
Explore stable envelopes through 2D mirror symmetry, connecting equivariant K-theory and Fukaya categories in Coulomb branches. Gain insights into homological mirror symmetry predictions.
Towards 2-Categorical 3D Mirror Symmetry
Explore 2-categorical aspects of 3d mirror symmetry in geometry and representation theory, focusing on boundary conditions in 3d N=4 SUSY QFTs and their connections to hyperkähler geometry.
Composition, DG-Modules, and Cobordism Maps in Bordered Floer Homology
Explore bordered Floer homology, dg-modules, and the topological interpretation of module homomorphism composition in Heegaard Floer complexes. Gain insights into cobordism maps and their consequences.
Categorical Aspects of the Fueter Equation in 3D Topological Quantum Field Theory
Explore categorical aspects of the Fueter equation, examining its role in topological quantum field theory and connections to complex geometry and mirror symmetry.
Singularities of the Quantum Connection on a Fano Variety
Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
Factorization of Density Matrices for the Critical RSOS Models
Explore integrability in condensed matter physics and quantum field theory through factorization of density matrices for critical RSOS models.
Thermal Form Factor Series for Dynamical Two-Point Functions of Local Operators in Integrable Quantum Chains
Explore thermal form factor series for dynamical two-point functions in integrable quantum chains, focusing on local operators and their applications.
Poincare Duality and TQFT Structures for Loop Spaces
Explore Poincaré duality and TQFT structures in loop spaces, delving into advanced algebraic topology concepts with K. Cieliebak from Augsburg.
Orthogonal Ring Patterns and Discrete Surfaces
Explore orthogonal ring patterns and discrete surfaces in integrable systems, focusing on applications in condensed matter physics and quantum field theory.
The Quantum Deformed Haldane-Shastry Model at q=i
Explore integrability in condensed matter physics and quantum field theory through the quantum deformed Haldane Shastry model at q=i.
Snake Modules, Extended T Systems and Correlation Functions for Higher Rank
Explore integrability in condensed matter physics and quantum field theory, focusing on snake modules, extended T systems, and correlation functions for higher rank systems.
Double Scaling Limits of Rectangular Fishnets - Integrability in Condensed Matter Physics and Quantum Field Theory
Explore integrability in condensed matter physics and quantum field theory through double scaling limits of rectangular fishnets.
Fusion Products and Finite-Dimensional Quotients for Periodic Temperley-Lieb Algebras
Explore fusion products and finite-dimensional quotients in periodic Temperley-Lieb algebras, focusing on integrability in condensed matter physics and quantum field theory.
An Update on SYZ Mirror Symmetry and Family Floer Theory
Explore Strominger-Yau-Zaslow approach to homological mirror symmetry, focusing on Lagrangian torus fibrations and Fukaya-Floer algebra construction for mirror symmetry in complex geometry.