cracked glass t top repair

I accidentally pushed my seat back into one of the t-tops stowed behind
the seat on my (formerly) mint 81. Now the corner has 4 diagonal little
cracks about 2 inches long. Very very very annoying as the rest of the
car is about as mint as you can get.

After giving myself a thorough whipping, and calling myself some names
I haven't used since high school, I decided I could shell out the $400
to buy another top but I'd rather try to repair it for now. The cracks
are in the dark bronze area and the average person won't notice it
unless the sun is hitting it from the wrong direction. They seem to be
only in the top layer of the glass and it appears to still be strong
enough not to flex and run more.

Has anyone found a repair that will hold on something like this? I
could fill the cracks with the chip repair glue first and see what
happens, but I wonder if it would hold for long. Any other ideas?