手招き[temaneki] beckoning
手招く[temaneku] to beckon
招き[maneki] invitation
招き猫[manekineko] beckoning cat
招く[maneku] to invite

招集[shoushuu] calling or convening (a meeting, assembly, congress)
招待[shoutai] invitation
招待券[shoutaiken] complimentary ticket
招待状[shoutaijou] written invitation
招致[shouchi] invitation