On the genus of free loop fibrations over<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$F_0$"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math>-spaces
International journal of mathematics and mathematical sciences