2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60888We prove gluing theorems for tight contact structures. In particular, we rederive (as special cases) gluing theorems due to Colin and Makar-Limanov, and present an algorithm for determining whether a given contact structure on a handlebody is tight. As applications, we construct a tight contact structure on a genus 4 handlebody which becomes overtwisted after Legendrian -1 surgery, and study certain Legendrian surgeries on T^3.28 pages, 23 figuresGeometric TopologyDifferential GeometrySymplectic Geometry57M50, 53C15text