#### Volume 19 (2015)

 Recent Volumes Volume 1, 1998 Volume 2, 1999 Volume 3, 2000 Volume 4, 2002 Volume 5, 2002 Volume 6, 2003 Volume 7, 2004 Volume 8, 2006 Volume 9, 2006 Volume 10, 2007 Volume 11, 2007 Volume 12, 2007 Volume 13, 2008 Volume 14, 2008 Volume 15, 2008 Volume 16, 2009 Volume 17, 2011 Volume 18, 2012 Volume 19, 2015
 The Series MSP Books and Monographs About this Series Editorial Board Ethics Statement Author Index Submission Guidelines Author Copyright Form Purchases ISSN (electronic): 1464-8997 ISSN (print): 1464-8989 Other MSP Publications
Some $3$–dimensional transverse $\mathbb{C}$–links (Constructions of higher-dimensional $\mathbb{C}$–links, I)

### Lee Rudolph

Geometry & Topology Monographs 19 (2015) 367–413
 arXiv: 1508.05073
##### Abstract

By use of a variety of techniques (most based on constructions of quasipositive knots and links, some old and others new), many smooth $3$–manifolds are realized as transverse intersections of complex surfaces in ${ℂ}^{3}$ with strictly pseudoconvex $5$–spheres. These manifolds not only inherit interesting intrinsic structures (eg, they have canonical Stein-fillable contact structures), they also have extrinsic structures of a knot-theoretical nature (eq, ${S}^{3}$ arises in infinitely many distinct ways). This survey is not comprehensive; a number of questions are left open for future work.

##### Keywords
quasipositivity, contact structures on $3$–manifolds, topological aspects of Stein theory, graph manifolds
##### Mathematical Subject Classification 2010
Primary: 32Q28, 57M25, 57M27, 57R17
Secondary: 57Q45, 14B05