It also appears to be the name of some artistic creations like http://www.artnet.com/artists/juli%C3%A3o-sarmento/am-i-a-man-or-a-woman-qKBP9CxIWbjzzZNkvpyhvg2
I also hear this and have heard similar things with other letters in other lessons. I have the idea (don't know where I got it) that in Czech, ALL letters are pronounced. So now I'm thinking that what we're hearing is the effect of each M being pronounced independently-- as opposed to the two Ms being run together into a single sound.
If a native speaker could weigh in on this, that would be great.
There is nothing of the sort. There is a completely regular glottal stop that divides the two words (one ending with m and one beginning with m). It is not phonemic and it belongs there. It must be there. The recording is correct and you should train your ear to distinguish it as a word or morpheme boundary, not as a vowel.