Generalizes Ricci flow to brane flows with n-forms, proves monotonicity for fixed field-dependent volume flows and that steady solitons are gradient solitons, including a new functional for Chern-Simons cases.
Differential Forms in Algebraic Topology,
9 Pith papers cite this work, alongside 1,095 external citations. Polarity classification is still indexing.
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Discrete symmetries of Feynman integral families correspond to permutations of Feynman parameters and induce group actions on twisted cohomology whose characters are Euler characteristics of fixed-point sets, yielding a formula for master integral counts in symmetric banana diagrams up to four loops
FP64 tensor cores accelerate high-order finite-element kernels in MFEM by up to 2x with 83% energy gains and near-perfect weak scaling on exascale hardware.
A machine-checked Lean 4 formalization of Stokes' theorem on smooth singular cubes with true Fréchet pullback, chain-level extensions, and comparison to prior HOL Light work.
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
Diagrams of Eilenberg-MacLane spaces of any height are formal over Q, implying spectral sequence collapse at page 2 for any diagram over any small category.
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
Proposes a manifestly duality- and Lorentz-invariant local action for QED with monopoles derived from Sen's formalism using field strengths as dynamical variables, with consistent tree- and loop-level results.
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
citing papers explorer
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Brane flows
Generalizes Ricci flow to brane flows with n-forms, proves monotonicity for fixed field-dependent volume flows and that steady solitons are gradient solitons, including a new functional for Chern-Simons cases.
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Discrete symmetries of Feynman integrals
Discrete symmetries of Feynman integral families correspond to permutations of Feynman parameters and induce group actions on twisted cohomology whose characters are Euler characteristics of fixed-point sets, yielding a formula for master integral counts in symmetric banana diagrams up to four loops
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Accelerating High-Order Finite Element Simulations at Extreme Scale with FP64 Tensor Cores
FP64 tensor cores accelerate high-order finite-element kernels in MFEM by up to 2x with 83% energy gains and near-perfect weak scaling on exascale hardware.
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Stokes' Theorem for Smooth Singular Cubes in Lean 4: True Pullback, Bridges to mathlib4, and Chain-Level d^2=0
A machine-checked Lean 4 formalization of Stokes' theorem on smooth singular cubes with true Fréchet pullback, chain-level extensions, and comparison to prior HOL Light work.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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On formality of diagrams of Eilenberg-MacLane spaces
Diagrams of Eilenberg-MacLane spaces of any height are formal over Q, implying spectral sequence collapse at page 2 for any diagram over any small category.
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Engineering of Anyons on M5-Probes via Flux Quantization
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
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Monopoles, Clarified
Proposes a manifestly duality- and Lorentz-invariant local action for QED with monopoles derived from Sen's formalism using field strengths as dynamical variables, with consistent tree- and loop-level results.
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GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.