@fehguy checked in some code back in April that calls applyDefaults() (in index.js) that uses startsWith(). This is not supported in IE11. Should probably change this to indexOf('http') === 0.
I also see it is added in helpers.js isOAS3() and isSwagger2() calls too (added by @shockey ).
I'm trying to use "npm run build-bundle" and that outputted swagger-client.js file in my environment and it's failing to work in IE11.