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The Azumification of orders

math.AG · 2026-06-03 · unverdicted · novelty 6.0

Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.

Multi-framed real monopole Floer theory

math.GT · 2026-06-26 · unverdicted · novelty 5.0

Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.

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  • The Azumification of orders math.AG · 2026-06-03 · unverdicted · none · ref 73

    Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.

  • Fixed-parameter tractable computation of Reshetikhin--Turaev knot polynomials via tensor networks math.GT · 2026-06-29 · unverdicted · none · ref 61

    Reshetikhin-Turaev knot polynomials are fixed-parameter tractable in the treewidth of the input diagram via tensor network contraction, yielding e^{O(sqrt n)} time.

  • Multi-framed real monopole Floer theory math.GT · 2026-06-26 · unverdicted · none · ref 89

    Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.