In html.tpl.php I have written :
<?php if($front_page):?>
<?php print '<a href="https://plus.google.com/109533530102750336693" rel="publisher">Google+</a> '?>
<?php endif; ?>
but its not working moreover its hanging the home page.
Can someone please tell me the correct syntax if it has some error
Should you not be using echo instead of print?
<?php if(drupal_is_front_page()):
echo '<a href="https://plus.google.com/109533530102750336693" rel="publisher">Google+</a>';
endif; ?>
In most themes, you should be overriding page.tpl.php rather than html.tpl.php. You also have a couple of errors in your syntax. The typical code for a template would read:
<?php if($front_page): ?>
<a href="https://plus.google.com/109533530102750336693" rel="publisher">Google+</a>
<?php endif; ?>
Note the space in the first line, plus you don't need to print the second.