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Chromatic homotopy theory uses the algebraic geometry of smooth 1-parameter formal groups to separate stable homotopy theory into periodic layers. The 1st layer recovers the image of Adams’ J homomorp...
Beijing International Center for Mathematical Research (BICMR) locates on the north Shore of Weiming Lake on the campus of Peking University. Sponsored by the national government of China, BICMR is de...
We use Young’s raising operators to give short and uniform proofs of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
For stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresp...
We study a modified version of Rognes' logarithmic structures on structured ring spectra. In our setup, we obtain canonical logarithmic structures on connective K-theory spectra which approximate the ...
Abstract: Heegaard Floer theory is a kind of topological quantum field theory, assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented 4-dimensio...
Abstract: As the title suggests, this paper gives a Nielsen theory of coincidences of iterates of two self maps f, g of a closed manifold. The ideas is, as much as possible, to generalize Nielsen type...
Abstract: We construct an inverse system of unstable Vassiliev spectral sequences on the spaces of plumbers' knots, which model the homotopy type of the space of long knots, and show that the limit of...
We consider geometric and analytical aspects of M-theory on a manifold with boundary Y 11. The partition function of the C-field requires summing over harmonic forms. When Y 11 is closed Hodge theory...
We apply ideas from C-algebra to the study of disordered topological insulators.We extract certain almost commuting matrices from the free Fermi Hamiltonian,describing band projected coordinate matri...
We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory.
We give a review of the theories of [FJR] and the theory of [JKV]and prove that for the singularity Ar−1 = xr (with the group G = μr), the stack of Ar−1-curves of [FJR] is canonically isom...

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