WorldCat Identities

Miller, Jeremy Kenneth

Works: 2 works in 2 publications in 1 language and 2 library holdings
Roles: Author
Publication Timeline
Most widely held works by Jeremy Kenneth Miller
The topology of spaces of J-holomorphic maps to CP2 by Jeremy Kenneth Miller( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

In [Seg79], Graeme Segal proved that the space of holomorphic maps from a Riemann surface to a complex projective space is homology equivalent to the corresponding continuous mapping space through a range of dimensions increasing with degree. I will address if a similar result holds when other almost complex structures are put on projective space. For any compatible almost complex structure J on CP^2, I prove that the inclusion map from the space of J-holomorphic maps to the space of continuous maps induces a homology surjection through a range of dimensions tending to infinity with degree. The proof involves comparing the scanning map of topological chiral homology ([Sal01], [Lur09], [And10]) with gluing of J-holomorphic curves ([MS94], [Sik03])
Finite groups acting on surfaces as rigid motions of Euclidean space by Jeremy Kenneth Miller( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.81 (from 0.81 for The topolo ... to 0.81 for The topolo ...)