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Higher cosystoles of matroids

math.CO · 2026-05-19 · unverdicted · novelty 6.0

Introduces the three-cosystole invariant for matroids and proves its optimal upper bound among regular matroids of rank at most six via monotonicity under extensions and explicit estimates on maximal simple examples.

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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  • Multi-framed real monopole Floer theory math.GT · 2026-06-26 · unverdicted · none · ref 65

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