2023/04/19 by Zhang, Yue
#57K31 #57K32 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2304.09950
The minimal volume of orientable hyperbolic manifolds with a given number of cusps has been found for 0,1,2,4 cusps, while the minimal volume of 3-cusped orientable hyperbolic manifolds remains unknown. By using guts in sutured manifolds and pared manifolds, we are able to show that for an orientable hyperbolic 3-manifold with 3 cusps such that every second homology class is libroid, its volume is at least 5.49… = 6 × Catalan's constant.