Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Edward Y. Miller"'
Autor:
Edward Y. Miller, Sylvain E. Cappell
Publikováno v:
Communications on Pure and Applied Mathematics. 72:2196-2230
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59ba839fad83e0093dbbeaec770a3fe7
https://doi.org/10.1002/cpa.21821
https://doi.org/10.1002/cpa.21821
Publikováno v:
Scopus-Elsevier
Given $n$ pairwise openly disjoint triangles in 3-space, their vertical depth relation may contain cycles. We show that, for any $\varepsilon>0$, the triangles can be cut into $O(n^{3/2+\varepsilon})$ connected semi-algebraic pieces, whose descriptio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3431366443bb0d5f6408e0bea1e20c8f
https://doi.org/10.1137/1.9781611974782.164
https://doi.org/10.1137/1.9781611974782.164
Autor:
Edward Y. Miller, Sylvain E. Cappell
Publikováno v:
Communications on Pure and Applied Mathematics. 63:133-202
The work of Ray and Singer that introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in both settings. The couplings are extended in a direct way in the topolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33603a6ed7a55b7e7be716b943f3745f
https://doi.org/10.1002/cpa.20307
https://doi.org/10.1002/cpa.20307
Autor:
Edward Y. Miller, Sylvain E. Cappell
This paper considers three separate matrices associated to graphs and (each dimension of) cell complexes. It relates all the coefficients of their respective characteristic polynomials to the geometric and combinatorial enumeration of three kinds of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d441bbeb41c8d9ac1f0975fb5d982703
http://arxiv.org/abs/1506.03881
http://arxiv.org/abs/1506.03881
Publikováno v:
Commentarii Mathematici Helvetici. 77:491-523
A perturbative SU(3) Casson invariant \( \Lambda_{SU(3)}(X) \) for integral homology 3-sphere is defined. Besides being fully perturbative, it has the nice properties: (1) \( 4\cdot \Lambda_{SU(3)} \) is an integer. (2) It is preserved under orientat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0af4864a99ab255f9c268ee04be81778
https://doi.org/10.1007/s00014-002-8349-8
https://doi.org/10.1007/s00014-002-8349-8
Publikováno v:
Communications on Pure and Applied Mathematics. 52:543-611
The theory of spectral flows developed in the series [10, 11, 12], and the present paper has a wide range of applications to important geometric operators on compact manifolds. To present our results on spectral flow and manifold decomposition, the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6729f2b3736022625057cf9b065f9ffe
https://doi.org/10.1002/(sici)1097-0312(199905)52:5<543::aid-cpa1>3.0.co
https://doi.org/10.1002/(sici)1097-0312(199905)52:5<543::aid-cpa1>3.0.co
Publikováno v:
Communications on Pure and Applied Mathematics. 49:869-909
This the second part of a three-part investigation of the behavior of certain analytical invariants of manifolds that can be split into the union of two submanifolds. In Part I we studied a splicing construction for low eigenvalues of self-adjoint el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c336598f23a67daa4fa6fde77dcbe27
https://doi.org/10.1002/(sici)1097-0312(199609)49:9<869::aid-cpa1>3.0.co
https://doi.org/10.1002/(sici)1097-0312(199609)49:9<869::aid-cpa1>3.0.co
Publikováno v:
Communications on Pure and Applied Mathematics. 49:825-866
This paper is the first of a three-part investigation into the behavior of analytical invariants of manifolds that can be split into the union of two submanifolds. In this article, we will show how the low eigensolutions of a self-adjoint elliptic op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::205f603cf704666d4283d860395d8599
https://doi.org/10.1002/(sici)1097-0312(199608)49:8<825::aid-cpa3>3.0.co
https://doi.org/10.1002/(sici)1097-0312(199608)49:8<825::aid-cpa3>3.0.co
Publikováno v:
Communications on Pure and Applied Mathematics. 47:121-186
In this paper we give four definitions of Maslov index and show that they all satisfy the same system of axioms and hence are equivalent to each other. Moreover, relationships of several symplectic and differential geometric, analytic, and topologica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b547cc70921d1e927f8441350a60bbb
https://doi.org/10.1002/cpa.3160470202
https://doi.org/10.1002/cpa.3160470202
Publikováno v:
Bulletin of the American Mathematical Society. 22:269-275
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b00c1a93a17728abf9b37ddc78046004
https://doi.org/10.1090/s0273-0979-1990-15885-9
https://doi.org/10.1090/s0273-0979-1990-15885-9