Surgery, polygons and SU(N)-Floer homology

期刊： JOURNAL OF TOPOLOGY, 2020; 13 (2)

Surgery exact triangles in various 3-manifold Floer homology theories provide an important tool in studying and computing the relevant Floer homology ......

Finite presentations for spherical/braid twist groups from decorated marked surfaces

期刊： JOURNAL OF TOPOLOGY, 2020; 13 (2)

We give a finite presentation for the braid twist group of a decorated surface. If the decorated surface arises from a triangulated marked surface wit......

Finiteness of nonzero degree maps between 3-manifolds

期刊： JOURNAL OF TOPOLOGY, 2020; 13 (1)

In this paper, it is shown that every orientable closed 3-manifold maps with nonzero degree onto at most finitely many homeomorphically distinct irred......

Negatively curved bundles in the Igusa stable range

期刊： JOURNAL OF TOPOLOGY, 2020; 13 (1)

We use classical results in smoothing theory to extract information about the rational homotopy groups of the space of Riemannian metrics without conj......