theorems:atiyah-singer
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theorems:atiyah-singer [2017/12/20 10:33] jakobadmin [Why is it interesting?] |
theorems:atiyah-singer [2017/12/20 10:34] 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 | ||
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| </blockquote> | </blockquote> | ||
| + | ---- | ||
| - | See also: http://physics.stackexchange.com/a/1865/37286 | + | * See also: http://physics.stackexchange.com/a/1865/37286 |
| <tabbox Layman> | <tabbox Layman> | ||
theorems/atiyah-singer.txt ยท Last modified: 2018/03/28 15:27 by jakobadmin
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