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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Instanton Floer homology and Heegaard diagrams
瞬子 弗洛尔同调和 希加德图
2023/4/21
Instanton Floer homology was introduced by Floer in 1980s and has become a power invariants for three manifolds and knots since then. It has lead to many milestone results, such as the approval of Pro...
Independent parameters for special instanton bundles on P^{2n+1}
instanton bundle moduli space rationality
2011/9/20
Abstract: Motivated by Yang-Mills theory in 4n dimensions, and generalizing the notion due to Atiyah, Drinfeld, Hitchin and Manin for n=1, Okonek, Spindler and Trautmann introduced instanton bundles a...
If K is a knot or link in R3 and S R3 is a smoothly embedded 2-sphere meeting K transversely in 4-points, then one can form a new knot or link K′ as follows. One cuts R3 along S and then glues the t...
By a mathematical instanton of charge n, we understand a rank-2 algebraic vector bundle E
on the 3-dimensional projective space P3 with Chern classes (1) c1(E) = 0, c2(E) = n,
satisfying the vanishi...
Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Instanton partition functions N=2 SU(N) gauge theories general surface operator W-algebra duals
2011/3/2
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces
Notes On U(1) Instanton $A_{l-1}$ ALE Spaces
2010/12/15
In this note, we investigate the detailed relationship between the orbifold partition counting and the (l-quotient, l-core) pair counting. We show that the orbifold partition counting is exactly the s...
We construct instanton Floer homology for lens spaces L(p, q). As an application, we prove that X = CP2#CP2 does not admits a decomposition X = X1 [ X2. Here X1 and X2 are oriented, simply connected, ...
2002Vol.38No.4pp.449-454DOI:
Instanton Effects on Gluon Propagator
FAN Xiao-Bin1 and WANG Qing1,2
1 Department of Physics, Tsinghua University, Beijing 100084,
China
2 I...
Path Dependence of the Quark Nonlocal Condensate within the Instanton Model
Path Dependence the Quark Nonlocal Condensate the Instanton Model
2010/10/25
Within the instanton liquid model, we study the dependence of the gauge invariant two–point quark correlator on the path used to perform the color parallel transport between two points in the Euclidea...
Nonadiabatic instanton calculation of multistate electron transfer reaction rate: Interference effects in three and four states systems
Nonadiabatic instanton calculation multi state electron transfer reaction rate three and four states systems
2014/9/24
For multistate electron transfer reactions with quantum reaction coordinates, nonadiabatic instanton theory can provide a powerful and direct means of calculating the reaction rate without any limitat...
The computation of electron transfer rates: The nonadiabatic instanton solution
electron transfer rates nonadiabatic instanton
2014/9/24
A computational theory for determining electron transfer rate constants is formulated based on an instanton expression for the quantum rate and the self-consistent solution of the imaginary time nonad...