Year: 2025
Type: preprint
Abstract: A key question for $4$-manifolds $M$ admitting symplectic structures is to determine which cohomology classes $α\in H^2(M,\mathbb R)$ admit a symplectic representative. The collection of all such classes, the symplectic cone $\mathcal C_M$, is a basic smooth invariant of $M$. This paper describes the symplectic cone for elliptic surfaces with positive Euler number.
Source: arXiv (Cornell University)
Authors: Dorfmeister, Josef G., Li, Tian-Jun
Institutions: University of Minnesota, North Dakota State University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7077067726
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