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theorems:atiyah-singer [2017/12/20 10:33] jakobadmin [Why is it interesting?] |
theorems:atiyah-singer [2017/12/20 10:33] jakobadmin [Why is it interesting?] |
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- | **The Atiyah-Singer index theorem tells one the number of solutions to a large class of differential equations purely in terms of topology.** Topology is that part of mathematics that deals with those aspects | + | **The Atiyah-Singer index theorem tells one the number of solutions to a large class of differential equations purely in terms of [[advanced_tools:topology|topology]].** Topology is that part of mathematics that deals with those aspects |
of geometrical objects that don't change as one deforms the object | of geometrical objects that don't change as one deforms the object | ||
(the standard explanatory joke is that 'a topologist is someone who | (the standard explanatory joke is that 'a topologist is someone who |