## 7 Citations

### Bifurcations of embedded curves and an extension of Taubes' Gromov invariant to Calabi-Yau 3-folds

- Mathematics
- 2021

We define an integer-valued virtual count of embedded pseudoholomorphic curves of two times a primitive homology class and arbitrary genus in symplectic Calabi–Yau 3-folds, which can be viewed as an…

### The Gopakumar-Vafa finiteness conjecture

- Mathematics
- 2021

TheGopakumar–Vafa conjecture predicts that the BPS invariants of a symplectic 6–manifold, defined in terms of the Gromov–Witten invariants, are integers and all but finitely many vanish in every…

### Invariant probability measures from pseudoholomorphic curves I

- Mathematics
- 2021

We introduce a method for constructing invariant probability measures of a large class of non-singular volume-preserving flows on closed, oriented odddimensional smooth manifolds using…

### An elementary alternative to ECH capacities.

- MathematicsProceedings of the National Academy of Sciences of the United States of America
- 2022

The embedded contact homology (ECH) capacities are a sequence of numerical invariants of symplectic four-manifolds that give (sometimes sharp) obstructions to symplectic embeddings. These capacities…

### Conjugate linear perturbations of Dirac operators and Majorana fermions

- Physics, Mathematics
- 2021

We study a canonical class of perturbations of Dirac operators that are defined in any dimension and on any Hermitian Clifford module bundle. These operators generalize the 2-dimensional Jackiw–Rossi…

### Counting embedded curves in symplectic 6-manifolds

- Mathematics
- 2019

Based on computations of Pandharipande, Zinger proved that the Gopakumar-Vafa BPS invariants $\mathrm{BPS}_{A,g}(X,\omega)$ for primitive Calabi-Yau classes and arbitrary Fano classes $A$ on a…

### D G ] 1 1 O ct 2 02 1 CONJUGATE LINEAR DEFORMATIONS OF DIRAC OPERATORS AND MAJORANA FERMIONS

- Physics, Mathematics
- 2021

We study a canonical class of perturbations of Dirac operators that are defined in any dimension and on any Hermitian Clifford module bundle. These operators generalize the 2-dimensional Jackiw–Rossi…

## References

SHOWING 1-10 OF 48 REFERENCES

### Gromov’s Compactness Theorem for Pseudo-holomorphic Curves

- Mathematics
- 2004

Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. This book aims to present in detail the original proof for Gromov's compactness theorum for pseudo-holomorphic…

### Equivariant Brill-Noether theory for elliptic operators and super-rigidity of $J$-holomorphic maps

- Mathematics
- 2020

The space of Fredholm operators of fixed index is stratified by submanifolds according to the dimension of the kernel. Geometric considerations often lead to questions about the intersections of…

### Transversality and super-rigidity for multiply covered holomorphic curves

- Mathematics
- 2016

We develop new techniques to study regularity questions for moduli spaces of pseudoholomorphic curves that are multiply covered. Among the main results, we show that unbranched multiple covers of…

### Existence of symplectic surfaces

- Mathematics
- 2008

In this paper we show that every degree 2 homology class of a 2n-dimensional symplectic manifold is represented by an immersed symplectic surface if it has positive symplectic area. Moreover, the…

### Automatic transversality and orbifolds of punctured holomorphic curves in dimension four

- Mathematics
- 2008

We derive a numerical criterion for J-holomorphic curves in 4-dimensional symplectic cobordisms to achieve transversality without any genericity assumption. This generalizes results of…

### Lectures on Symplectic Field Theory

- Mathematics
- 2016

This is the preliminary manuscript of a book on symplectic field theory based on a lecture course for PhD students given in 2015-16. It covers the essentials of the analytical theory of punctured…

### Gromov’s compactness theorem for pseudo holomorphic curves

- Mathematics
- 1994

We give a complete proof for Gromov's compactness theorem for pseudo holomorphic curves both in the case of closed curves and curves with boundary.

### Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold

- Mathematics
- 2015

We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of…