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The early history of this result is entangled with that of the [[Atiyah-Singer index theorem]]. There was other input, as is suggested by the alternate name ''Woods Hole fixed-point theorem'' [http://www.whoi.edu/mpcweb/meetings/atiyah_bott_35.html] that was used in the past (referring properly to the case of isolated fixed points). A 1964 meeting at [[Woods Hole]] brought together a varied group:
<blockquote>''[[Eichler]] started the interaction between fixed-point theorems and [[automorphic form]]s. [[Goro Shimura|Shimura]] played an important part in this development by explaining this to Bott at the Woods Hole conference in 1964''<ref>http://www.math.ubc.ca/~cass/macpherson/talk.pdf</ref>. </blockquote>
As Atiyah puts it<ref>''Collected Papers'' III p.2.</ref>:
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