Left-wing market anarchism is anarcho-capitalism that is left-wing in its orientation. They typically support the same policies as other anarcho-capitalists, but in non-policy areas, they have notable differences. They're opposed to hierarchical labor relations (though they don't want to make them illegal), with which they associate the term "capitalism", and which is why they like to call themselves free-market anti-capitalists. They have a favorable view of labor unions, strikes, and worker cooperatives. They tend to believe that the current political and economic system favors large corporations and the wealthy to such a degree that there would be much less inequality under market anarchy. Finally, they support feminism, anti-racism, and related ideologies in their cultural goals, though, being libertarians, they oppose the state being involved.

Essentially, they're libertarians who believe that many (sometimes radical) left-wing goals are desirable and achievable in a free market.