2026-09-22T12:16:45Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/16822 2023-07-10 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Ando, Matthew Rezk, Charles Ando, Matthew McCarthy, Randy Guillou, Bertrand Chen, Hsian-Yang 2010-08-20T17:58:52Z 2010-08-20T17:58:52Z 2010-08-20T17:58:52Z 2010-08 Let $ \mathcal{C} \colon= \mathds{C}/ \Lambda$ be a complex elliptic curve. In this paper, we give a detailed construction of torus equivariant elliptic cohomology, which is a sheaf of $ \mathcal{ O}_{\mathcal{C}^n}$-algebras over $ \mathcal{C}^n$. As applications, we construct global sections for sigma functions and relates these sections to the elliptic orbifold genera. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-06-28T15:51:58Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Chen_Hsian-Yang.pdf: 832894 bytes, checksum: 57eea2381b888da8f8a50578102293ed (MD5) Made available in DSpace on 2010-08-20T17:58:52Z (GMT). No. of bitstreams: 2 Chen_Hsian-Yang.pdf: 832894 bytes, checksum: 57eea2381b888da8f8a50578102293ed (MD5) license.txt: 4058 bytes, checksum: d55ad5a4f9792864694cebe8d6420243 (MD5) http://hdl.handle.net/2142/16822 en Copyright 2010 Hsian-Yang Chen elliptic cohomology sigma orientation Torus equivariant elliptic cohomology and sigma orientations Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD