Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps
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Publication:5059924
DOI10.1017/fms.2022.104OpenAlexW3033809720MaRDI QIDQ5059924
Thomas Walpuski, Aleksander Doan
Publication date: 17 January 2023
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.01352
Invariance and symmetry properties for PDEs on manifolds (58J70) Global theory of symplectic and contact manifolds (53D35) Elliptic cohomology (55N34) Group actions on manifolds and cell complexes in low dimensions (57M60) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Calculus on manifolds; nonlinear operators (58C99) Operator theory (47-XX) Several complex variables and analytic spaces (32-XX)
Related Items
Transversality and super-rigidity for multiply covered holomorphic curves, Counting embedded curves in symplectic 6-manifolds
Cites Work
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- A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
- A simpler proof of the Gieseker-Petri theorem on special divisors
- Embedding property of \(J\)-holomorphic curves in Calabi-Yau manifolds for generic \(J\)
- On finiteness and rigidity of \(J\)-holomorphic curves in symplectic three-folds
- Stable curves and special divisors: Petri's conjecture
- Pseudo holomorphic curves in symplectic manifolds
- Brill-Noether-Petri without degenerations
- Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
- The Riemann-Roch theorem for complex V-manifolds
- Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
- Gauge theory for embedded surfaces. II
- Counting pseudo-holomorphic submanifolds in dimension 4
- Gerbes over orbifolds and twisted \(K\)-theory
- The Gopakumar-Vafa formula for symplectic manifolds
- BPS states of curves in Calabi-Yau 3-folds
- Another proof of the existence of special divisors
- Flat vector bundles and analytic torsion on orbifolds
- Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
- Some remarks on Thom's transversality theorem
- Generic Transversality for Unbranched Covers of Closed Pseudoholomorphic Curves
- ON A GENERALIZATION OF THE NOTION OF MANIFOLD
- Unique continuation in geometry
- The unregularized gradient flow of the symplectic action
- Unique continuation for elliptic operators: A geometric-variational approach
- The index of elliptic operators over V-manifolds
- Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
- An Infinite Dimensional Version of Sard's Theorem
- A theory of cotypes
- Shorter Notes: When Proper Maps are Closed
- On the Existence of Special Divisors
- A residue formula for Chern classes associated with logarithmic connections
- Transversality and super-rigidity for multiply covered holomorphic curves
