Analytic Heegaard Floer homology to Bounded Variation
- Analytic Heegaard Floer homology
- Banach algebras
- Banach space theory
- Compact operators and nonarchimedean Fredholm theory
- Complex Morse theory, affine topology and weak Lefschetz
- Conformal mapping and the geometric theory of holomorphic functions
- Contour integration and the Hungerbühler–Wasem generalized residue theorem
- Four-dimensional Seiberg–Witten theory
- Fuchsian groups and orbifold Riemann surfaces
- Geometric measure theory: rectifiability, BV, and finite perimeter
- Integral currents, geometric homology and minimizing hypersurfaces
- One-parameter semigroups, completely monotone and positive-definite functions, and Bochner-type representations
- Operator theory
- Operator-algebra dynamics, crossed products, and equilibrium
- Partial differential equations
- Real-analytic geometry and semianalytic triangulation
- Weighted orthogonal L² bases — completeness, Hilbert-basis structure, and product bases of orthogonal systems
- Analytic
- Bochner
- Bounded Variation
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