4 papers · 1 filter
Decompositions and diagrams of symplectic surfaces in Weinstein domains
Román Aranda, Patricia Cahn, Agniva Roy +1
We introduce combinatorial and diagrammatic methods for representing properly embedded symplectic surfaces in 4-dimensional Weinstein domains. We show that positive ascending surfa…
Spinal open books and symplectic fillings with exotic fibers
Hyunki Min, Agniva Roy, Luya Wang
Spinal open book decompositions provide a natural generalization of open book decompositions. We show that any minimal symplectic filling of a contact 3-manifold supported by a pla…
Small symplectic caps and embeddings of homology balls in the complex projective plane
John B. Etnyre, Hyunki Min, Lisa Piccirillo +1
We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embe…
Symplectic fillings and cobordisms of lens spaces
John B. Etnyre, Agniva Roy
We complete the classification of symplectic fillings of tight contact structures on lens spaces. In particular, we show that any symplectic filling of a virtually overtwisted…