Kodaira Dimension in Low Dimensional Topology

Abstract

This is a survey on the various notions of Kodaira dimension in low dimensional topology. The focus is on progress after the 2006 survey [78].

It is to appear in the Proceedings of Tsinghua-Sanya International Mathematics Forum

References in corpus (11)

• Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds
• The SO(3) monopole cobordism and superconformal simple type
• Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds
• $G$-minimality and invariant negative spheres in $G$-Hirzebruch surfaces
• Iitaka conjecture $C_{n,m}$ in dimension six
• Stability and Existence of Surfaces in Symplectic 4-Manifolds with $b^{+}=1$
• A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds
• The Yamabe invariant of a class of symplectic manifolds
• Kodaira Dimension of Fiber Sums along Spheres
• Virtual Betti numbers and the symplectic Kodaira dimension of fibered 4-manifolds
• The symplectic mapping class group of $\CC P^2 n{\bar{\CC P^2}}$ with $n\le 4$

Cited by in corpus (1)

• Kodaira dimensions of almost complex manifolds II