The invention relates to hotmelt adhesives based on polyesters, having low VOC and fogging values. In particular, the invention relates to reactive hotmelt adhesives including polyesters containing at least 50 mole percent, based on the polycarboxylic acid components, of terephthalic acid or a derivative thereof and containing at least 40 mole percent, based on the polyol components, of diols of the formula HO—(CH2)x—OH with x≥6.