忽略:疏忽,不在意;没注意到。Almost the same as "忽视". It's more like ignore, overlook.
eg.在这个问题上,他们忽略了一个重要的细节。( In this case, they ignored an important detail.)
怠慢:1.(对事物)不重视,不当一回事。 2.(对人)不恭敬、冷淡,常用作客套的谦词。
eg.1.怠慢法律,必然招来祸事。2.如有怠慢,请多包涵。( I'm afraid I have been a poor host.)
轻视:小看、不认真看待(常有贬义) despise, look down on
eg.她不该因为贫穷而轻视他。( She shouldn't look down on him for poverty.)