[图书][B] Moonshine beyond the Monster: The bridge connecting algebra, modular forms and physics
T Gannon - 2007 - library.oapen.org
Moonshine forms a way of explaining the mysterious connection between the monster finite
group and modular functions from classical number theory. The theory has evolved to …
group and modular functions from classical number theory. The theory has evolved to …
[PDF][PDF] Elliptic spectra, the Witten genus and the theorem of the cube
M Ando, MJ Hopkins… - Inventiones …, 2001 - people.math.rochester.edu
This paper is part of a series ([HMM98, HM98] and other work in progress) getting at some
new aspects of the topological approach to elliptic genera. Most of these results were …
new aspects of the topological approach to elliptic genera. Most of these results were …
Geometric and topological structures related to M-branes
H Sati - arXiv preprint arXiv:1001.5020, 2010 - arxiv.org
We consider the topological and geometric structures associated with cohomological and
homological objects in M-theory. For the latter, we have M2-branes and M5-branes, the …
homological objects in M-theory. For the latter, we have M2-branes and M5-branes, the …
Monstrous moonshine: the first twenty-five years
T Gannon - Bulletin of the London Mathematical Society, 2006 - cambridge.org
Twenty-five years ago, Conway and Norton published in this journal their remarkable paper
'Monstrous Moonshine', proposing a completely unexpected relationship between finite …
'Monstrous Moonshine', proposing a completely unexpected relationship between finite …
Elliptic Genera of singular varieties, orbifold elliptic genus and chiral deRham complex
LA Borisov, A Libgober - arXiv preprint math/0007126, 2000 - arxiv.org
arXiv:math/0007126v2 [math.AG] 9 Aug 2000 Page 1 arXiv:math/0007126v2 [math.AG] 9 Aug
2000 Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex …
2000 Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex …
[PDF][PDF] On elliptic genera and theta-functions
K Liu - Topology, 1996 - core.ac.uk
THE MAIN PURPOSE of this paper is to give a simple and unified new proof of the Witten
rigidity theorems, which were conjectured by Witten and first proved by Taubes [25], Bott …
rigidity theorems, which were conjectured by Witten and first proved by Taubes [25], Bott …
Modular invariance and characteristic numbers
K Liu - Communications in mathematical physics, 1995 - Springer
We prove that a general miraculous cancellation formula, the divisibility of certain
characteristic numbers, and some other topological results related to the generalized …
characteristic numbers, and some other topological results related to the generalized …
Equivariant elliptic cohomology and rigidity
I Rosu - American Journal of Mathematics, 2001 - muse.jhu.edu
Equivariant elliptic cohomology with complex coefficients was defined axiomatically by
Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant …
Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant …
Cubic forms, anomaly cancellation and modularity
Abstract Recently Freed and Hopkins [11] proved that there is no parity anomaly in M-theory
on pin+ manifolds in the low-energy field theory approximation, and they also developed an …
on pin+ manifolds in the low-energy field theory approximation, and they also developed an …
[PDF][PDF] Hecke operators in equivariant elliptic cohomology and generalized Moonshine
N Ganter - arXiv preprint arXiv:0706.2898, 2007 - arxiv.org
arXiv:0706.2898v2 [math.AT] 7 Dec 2015 Page 1 HECKE OPERATORS IN EQUIVARIANT
ELLIPTIC COHOMOLOGY AND GENERALIZED MOONSHINE NORA GANTER UNIVERSITY …
ELLIPTIC COHOMOLOGY AND GENERALIZED MOONSHINE NORA GANTER UNIVERSITY …