Structural Unemployment is one that is permanent or long lived and Cyclical Unemployment does not have enough demand in the economy.
Explanation:
Structural unemployment results with a permanent dislocations within markets and a mismatch between skills in growing company needs. When the overall goods and service in an economy cannot support full employment that results with Cyclical unemployment.
The difference between Europe and US is, US has 50 states under one country whereas Europe is a union between countries.
Krugman uses the tax savings to buy their own stock, The evidence is overwhelming.