Webfont looks terrible in Chrome while good in Firefox - css

Question

I have a menu on a page that uses a custom webfont. It is a condensed font type and has a shadow. When I render it with Firefox it looks OK, but in Chrome it is hard to read. This is some antialiasing problem.
Firefox:
Chrome:
I already tried to switch off the shadow and played with -webkit-font-smoothing but it didn't help. What else can I try?
The relevant CSS is here:
#submenu li {
float: left;
list-style: none;
margin: 0;
padding: 0;
color: #fff;
text-shadow:1px 1px 0px #9a60a0;
}
#submenu li a {
color: #fff;
display: block;
margin: 0;
padding: 16px 10px 12px 40px;
text-decoration: none;
position: relative;
text-shadow:1px 1px 0px #9a60a0;
height: 22px;
}
#mainmenu{
width:1000px;
height:60px;
margin:0px auto;
font-family:LeagueGothicRegular,Arial, verdana,Century gothic, sans-serif;
font-size: 18px;
}
#font-face {
font-family: 'LeagueGothicRegular';
src: url('fonts/League_Gothic-webfont.eot');
src: url('fonts/League_Gothic-webfont.eot?#iefix') format('embedded-opentype'),
url('fonts/League_Gothic-webfont.woff') format('woff'),
url('fonts/League_Gothic-webfont.ttf') format('truetype'),
url('fonts/League_Gothic-webfont.svg#LeagueGothicRegular') format('svg');
font-weight: normal;
font-style: normal;
}