Moduli spaces from a topological viewpoint
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Title 
Moduli spaces from a topological viewpoint

Title of Series  
Number of Parts 
33

Author 

License 
CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  
Publisher 
Instituto de Ciencias Matemáticas (ICMAT)

Release Date 
2006

Language 
English

Content Metadata
Subject Area  
Abstract 
This talk aims to explain what topology, at present, has to say about a few of the many moduli spaces that are currently under study in mathematics. The most prominent one is the moduli space Mg of all Riemann surfaces of genus g. Other examples include the GromovWitten moduli space of pseudoholomorphic curves in a symplectic background, the moduli space of graphs and Waldhausens algebraic Ktheory of spaces.

Keywords 
moduli spaces
mapping class groups
cobordism
algebraic Ktheory of spaces

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Computer animation
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As of this year will win 1 more genius just who would on or you could also shows off that The shortest show you have It did more office of suffers indicated Because it's the identity of the bomber UBS You get a bit a few more of the a meeting of dish do want saying simply by adding the identity So this is a match like these All we could the maps composed and then were in there and then It is the these match In Jews isomorphous on fourmonth means will call monthly interest rate So now you could define a a B of the MNC We should be the directly in way he bond Doing it keep doing on the surface Like to keep these things to run here and there you would think that The union of the limits that would limit aboard the space for that began and seemed to be and the car model that space that is what I Defined before war Stated call muscle Or to make use of that 1 has work defined as a subcategory on this Category of data services The category has same number of so demands onedimensional manifolds toward the case surfaces and that the suffocated but it has fueled more named the more you consider only has the property that connected component has some
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I Will the boundaries so you could these things he had postal and not enough it turns out that Show Red Yeah That this stuff category has to say Pleasant space object information so of this A survey and B To get us said the that could based on the use of this Mistreated Of the cast of MySpace State the category It Teakwood true is the same as Look down on base Which The best homeopathy of that put moment But the coverage for us this was not the way that there My advice and and I written to approved the sale of this but there it provides a new proof of the The That this of commodity Isomorphous between between this This base That might be whose lot State home wanted a they call comedy of the on the must 1st base and in and in this new face with Bush here on I would like to alert them Sir See Gywn preacher was us there some less
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But some basins But at least they have talked about That I would That I would like to work to included 1 of them is Where is still far I only conceded Manifolds Baden indicators based in particular services Embedded in Euclidean space stuff surfaces of you UK space but you could also would also consider South Bases Embedded in Euclidean space trip here with A man From there Based in school a background Maria Emilia Asians you Wednesday that it would consider borders Mr. makes a structure In Spain structure considered on oil and the also more citizens and in all cases Still a and B with the trial But forget editor Yeah The classified space of the of the borders and works out Find the proper stability The problem is defined a niche of the The chill find the ATO Is defined these manifold which we can do bye bye have stability which which approximates Space amount there That relaxing with to variations of the problem Said you can say that Surface stigma embedded in Baker played in space he and there you can't say that I'm just a continuous from that takes so that's sort of a topological version of the of the of the home of written martyrize base
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